12 videos in "Tangent Lines and Slope"
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Rates of Change and Related Rates
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Tangent Lines and Velocity
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Derivatives and Tangent Lines 1
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Derivatives and Tangent Lines 2
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Derivatives and Tangent Lines 3
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Derivatives and Tangent Lines 4
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![[C.1] AROC - Part 1 - in a table preview image](http://pi.mathvids.com/thumbs/1284-1.jpg)
[C.1] AROC - Part 1 - in a table
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![[C.1] AROC - Part 2 - with difference quotient preview image](http://pi.mathvids.com/thumbs/1285-1.jpg)
[C.1] AROC - Part 2 - with difference quotient
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Secant Line and AROC
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Definition of the Derivative Part 1
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Definition of the Derivative Part 2
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IROC vs AROC
Derivatives and Tangent Lines 4
Derivatives and Tangent Lines 4
436 views - 00:10:10
Part of video series Derivatives and Tangent Lines
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More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
An introduction to derivatives and tangent lines to curves.
- What is the formal definition of a derivative?
- What does the derivative of a function tell you?
- How can you find the slope of a tangent line to a curve at a point on a curve?
- How do you find the derivative of a line?
- If f(x) = 3x - 2, what is f'(x)?
- How can you find the derivative of f(x) = 3x - 2 using the formal definition of a derivative?
- What is the derivative of f(x) = mx + b?
- If f(x) = 2 - x^2, how do you find f'(x) using the formal limit definition of a derivative?
- What is the slope of the tangent line to f(x) = 2 - x^2 at (0, 2) and (2, -2)?
In this lesson, you will learn to find the derivative of a line using the formal limit definition of a derivative. There is one more example of finding the derivative of a quadratic equation as well. All steps are explained very well as they are in the whole series.
