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 3
Derivatives and Tangent Lines 3
495 views - 00:10:29
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 slope of the tangent line of f(x) = x^2 - 3 at (1, -2)?
- How do you find the slope of a tangent line to a curve at a point using the formal definition of a derivative?
- If you know the slope of the tangent line to a curve at a point, how can you use the point-slope formula to find the equation of the tangent line?
- How can you find the equation of the tangent line to a curve at a point?
- What is the definition of a tangent line with slope m?
- What is the formal definition of a derivative of a function?
- What is f'(x) = lim (x -> 0) (f(x+h) - f(x))/h?
- If f(x) = x^2 - 3, how do you find f'(x) using the formal definition of a derivative?
- What is the limit as h goes to 0 of 2x + h?
- Why is the derivative of f(x) = x^2 - 3 just 2x?
This lesson wraps up finding the actual equation for the tangent line to a curve at a point. An example of actually finding the derivative of a function using the formal definition of a derivative is shown. Then, once we know the derivative of the function, it is used to find the slope at several points on the curve.
