Series: Calculus I: Derivatives & Differentiation
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What is a Limit? Basic Idea of Limits -
Calculating a Limit by Multiplying by a Conjugate -
Calculating a Limit by Expanding and Simplifying -
Calculating a Limit by Factoring and Cancelling -
Find a Limit by Getting a Common Denominator -
Calculating a Limit Involving Absolute Value -
Limit of sin(x)/x as x Approaches Zero -
Squeeze Theorem for Limits -
Infinite Limits -
Find Horizontal Asymptotes of Rational Functions -
Limits at Infinity & Rational Function; Shortcuts -
Limits at Infinity with Radical in the Expression -
Basic Continuity Problems -
More Continuity Problems/Examples -
The Intermediate Value Theorem -
Continuity and Three Important Theorems -
Derivatives Using the Definition -
Sketching the Derivative of a Function -
Basic Derivative Examples -
Chain Rule: Basic Problems -
Chain Rule – Harder Ex 1 -
Chain Rule – Harder Ex 2 -
Chain Rule – Harder Ex 3 -
Product and Chain Rule to Find a Derivative -
Chain, Quotient Rule to Find Derivative & Simplify -
Derivative from Chain, Quotient Rule; Simplify 2 -
Derivatives - Complicated (Multi-Step) Examples -
Logarithmic Differentiation - Ex 1 -
Logarithmic Differentiation - Ex 2 -
Logarithmic Differentiation - Ex 3 -
Tons of Derivative Examples -
Implicit Differentiation to Find First Derivative -
Implicit Differentiation to Find Second Derivative -
Related Rates Involving Baseball -
Related Rates, Ex 1 -
Related Rates, Ex 2 -
Related Rates, UT example -
Related Rates Involving Cones - UT Problem -
UT Related Rates Problem, Ex 1 -
UT Related Rates Problem, Ex 2 -
UT Related Rates Problem, Ex 3 -
UT Related Rates Problem, Ex 4 -
UT Related Rates Problem, Ex 5 -
UT Related Rates Problem, Ex 6 -
Related Rates Involving Baseball -
UT Related Rates Problem 8 -
Find a Linear Approximation/Linearization -
Finding a Linear Approximation / Linearization -
Using Differentials to Approximate Change -
Local Max and Min; Increasing/Decreasing Functions -
The Mean Value Theorem -
Finding Critical Numbers – Ex 1 -
Finding Critical Numbers – Ex 2 -
Find Local Max/Min and where Increasing/Decreasing -
Concavity and Second Derivatives -
Curve Sketching Using Calculus - Part 1 of 2 -
Curve Sketching Using Calculus - Part 2 of 2 -
Summary of Curve Sketching - Ex 2, Part 1 -
Summary of Curve Sketching - Ex 2, Part 2 -
Summary of Curve Sketching - Ex 2, Part 3 -
Summary of Curve Sketching - Ex 2, Part 4 -
Optimization Problem #1 -
Optimization Problem #2 -
Optimation Problem #3 - Designing a Rain Gutter -
Newtons Method
About this Series
- Lessons: 65
- Total Time: 7h 32m
- Use: Watch Online & Download
- Access Period: Unlimited
- Created At: 09/30/2010
- Last Updated At: 09/30/2010
This 65-video first-semester Calculus series will teach you about the key topics covered in most Calculus I courses. The first 16 lessons will dealwith limits & continuity. The next 33 will look at differentiation and derivative rules. The final 16 will look at applications of differentiation and derivatives.
These videos are available to be viewed online for free on PatrickJMT
About this Author
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- patrickjmt
- 987 lessons
- Joined:
08/17/2010
Many of the videos for sale are also available on my website: http://PatrickJMT.com or you can also do a search and check out my popular 'math channel' on YouTube (PatrickJMT). You can watch all of them there for FREE!
Masters degree in Mathematics; former math instructor at a top 20 university!
Lessons Included
- What is a Limit? Basic Idea of Limits
- Calculating a Limit by Multiplying by a Conjugate
- Calculating a Limit by Expanding and Simplifying
- Calculating a Limit by Factoring and Cancelling
- Find a Limit by Getting a Common Denominator
- Calculating a Limit Involving Absolute Value
- Limit of sin(x)/x as x Approaches Zero
- Squeeze Theorem for Limits
- Infinite Limits
- Find Horizontal Asymptotes of Rational Functions
- Limits at Infinity & Rational Function; Shortcuts
- Limits at Infinity with Radical in the Expression
- Basic Continuity Problems
- More Continuity Problems/Examples
- The Intermediate Value Theorem
- Continuity and Three Important Theorems
- Derivatives Using the Definition
- Sketching the Derivative of a Function
- Basic Derivative Examples
- Chain Rule: Basic Problems
- Chain Rule – Harder Ex 1
- Chain Rule – Harder Ex 2
- Chain Rule – Harder Ex 3
- Product and Chain Rule to Find a Derivative
- Chain, Quotient Rule to Find Derivative & Simplify
- Derivative from Chain, Quotient Rule; Simplify 2
- Derivatives - Complicated (Multi-Step) Examples
- Logarithmic Differentiation - Ex 1
- Logarithmic Differentiation - Ex 2
- Logarithmic Differentiation - Ex 3
- Tons of Derivative Examples
- Implicit Differentiation to Find First Derivative
- Implicit Differentiation to Find Second Derivative
- Related Rates Involving Baseball
- Related Rates, Ex 1
- Related Rates, Ex 2
- Related Rates, UT example
- Related Rates Involving Cones - UT Problem
- UT Related Rates Problem, Ex 1
- UT Related Rates Problem, Ex 2
- UT Related Rates Problem, Ex 3
- UT Related Rates Problem, Ex 4
- UT Related Rates Problem, Ex 5
- UT Related Rates Problem, Ex 6
- Related Rates Involving Baseball
- UT Related Rates Problem 8
- Find a Linear Approximation/Linearization
- Finding a Linear Approximation / Linearization
- Using Differentials to Approximate Change
- Local Max and Min; Increasing/Decreasing Functions
- The Mean Value Theorem
- Finding Critical Numbers – Ex 1
- Finding Critical Numbers – Ex 2
- Find Local Max/Min and where Increasing/Decreasing
- Concavity and Second Derivatives
- Curve Sketching Using Calculus - Part 1 of 2
- Curve Sketching Using Calculus - Part 2 of 2
- Summary of Curve Sketching - Ex 2, Part 1
- Summary of Curve Sketching - Ex 2, Part 2
- Summary of Curve Sketching - Ex 2, Part 3
- Summary of Curve Sketching - Ex 2, Part 4
- Optimization Problem #1
- Optimization Problem #2
- Optimation Problem #3 - Designing a Rain Gutter
- Newtons Method
None of the lesson in this series have been reviewed.
Below are the descriptions for each of the lessons included in the series:
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What is a Limit? Basic Idea of Limits
What is a Limit? Basic Idea of Limits and what it means to calculate a limit.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Calculating a Limit by Multiplying by a Conjugate
Calculating a Limit by Multiplying by a Conjugate
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Calculating a Limit by Expanding and Simplifying
Calculating a Limit by Expanding and Simplifying
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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-
Calculating a Limit by Factoring and Cancelling
Calculating a Limt By Factoring and Cancelling - One example is shown!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Find a Limit by Getting a Common Denominator
Calculating a Limit by Getting a Common Denominator - One example is shown!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Calculating a Limit Involving Absolute Value
Limits Involving Absolute Value - In this video I do two limit problems that involve | absolute value | . I discuss the basic algebraic idea of how to get started on these problems.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Limit of sin(x)/x as x Approaches Zero
Calculating a Limit Involving sin(x)/x as x approaches zero
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Squeeze Theorem for Limits
The Squeeze Theorem for Limits - I discuss the idea of the Squeeze Theorem as well as showing two examples illustrating the Squeeze Theorem!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Infinite Limits
Calculus - Infinite Limits. In this video I calculate a few limits where the solutions are either +/- infinity or the limits do not exist.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Find Horizontal Asymptotes of Rational Functions
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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-
Limits at Infinity & Rational Function; Shortcuts
Limits at Infinity - Basic Idea and Shortcuts for Rational Functions
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Limits at Infinity with Radical in the Expression
Calculating a Limit at Infinity with a Radical in the Expression
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Basic Continuity Problems
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
More Continuity Problems/Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
The Intermediate Value Theorem
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Continuity and Three Important Theorems
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Derivatives Using the Definition
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Sketching the Derivative of a Function
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Basic Derivative Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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-
Chain Rule: Basic Problems
Basic Chain Rule Problems - A few examples are shown.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Chain Rule – Harder Ex 1
An example is shown using the chain rule multiple times!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Chain Rule – Harder Ex 2
Using the Chain Rule - Harder Example #2. In this video I use the Chain rule along with the quotient rule and simplify!!
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Chain Rule – Harder Ex 3
Using the Chain Rule - Harder Example #3. Just another looooong problem using the chain rule!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Product and Chain Rule to Find a Derivative
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Chain, Quotient Rule to Find Derivative & Simplify
Derivatives - Quotient and Chain Rule and Simplifying - One complete example.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Derivative from Chain, Quotient Rule; Simplify 2
Product Rule, Chain Rule and Simplifying - Ex 2.
In this video, I use the product rule and the chain rule to find a derivative and then use some algebra to clean it up!This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Derivatives - Complicated (Multi-Step) Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Logarithmic Differentiation - Ex 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Logarithmic Differentiation - Ex 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Logarithmic Differentiation - Ex 3
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Tons of Derivative Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Implicit Differentiation to Find First Derivative
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Implicit Differentiation to Find Second Derivative
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Related Rates Involving Baseball
Related Rates Involving Baseball!
A problem from UT Austin Calculus 1 course, HW #8.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Related Rates, Ex 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Related Rates, Ex 2
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Related Rates, UT example
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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-
Related Rates Involving Cones - UT Problem
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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-
UT Related Rates Problem, Ex 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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-
UT Related Rates Problem, Ex 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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-
UT Related Rates Problem, Ex 3
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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UT Related Rates Problem, Ex 4
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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UT Related Rates Problem, Ex 5
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UT Related Rates Problem, Ex 6
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Related Rates Involving Baseball
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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-
UT Related Rates Problem 8
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Find a Linear Approximation/Linearization
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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-
Finding a Linear Approximation / Linearization
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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-
Using Differentials to Approximate Change
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Local Max and Min; Increasing/Decreasing Functions
Increasing/Decreasing , Local Maximums/Minimums - The basic idea!
In this video, I just give a graph and discuss intervals where the function is increasing and decreasing. I also discuss local maximums and minimums.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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The Mean Value Theorem
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Finding Critical Numbers – Ex 1
Finding Critical Numbers - Example 1. In this video I show how to find the critical numbers of a rational function.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Finding Critical Numbers – Ex 2
Finding Critical Numbers - Example 2.
Another example of finding critical numbers.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Find Local Max/Min and where Increasing/Decreasing
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Concavity and Second Derivatives
Concavity and Second Derivatives - Examples of using the second derivative to determine where a function is concave up or concave down.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Curve Sketching Using Calculus - Part 1 of 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Curve Sketching Using Calculus - Part 2 of 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Summary of Curve Sketching - Ex 2, Part 1
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Summary of Curve Sketching - Ex 2, Part 2
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Summary of Curve Sketching - Ex 2, Part 3
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Summary of Curve Sketching - Ex 2, Part 4
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Optimization Problem #1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Optimization Problem #2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Optimation Problem #3 - Designing a Rain Gutter
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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-
Newtons Method
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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