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 2
Derivatives and Tangent Lines 2
386 views - 00:10:38
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.
- How do you find the slope of the tangent line of f(x) = x^2 - 3 at (1, -2)?
- How can you use limits and the formula for slope to find the exact slope of the tangent line at a point on a curve?
- If you have a graph y = f(x), how do you find the slope between (c, f(c)) and (c + h, f(c + h)) if c is very small?
- How do you derive the formal definition of a derivative?
- What is the formal definition of a derivative?
- What is the definition of a tangent line with slope m?
- How do you find the limit as h goes to 0 of (f(1 + h) - f(1))/h?
- How do you find the slope of a tangent line by using the formal limit definition of a derivative?
- What is the limit as h goes to 0 of 2 + h?
This lesson goes into depth with tangent lines and derives the formula for a derivative by using a secant line between two points that are very close to each other on a curve. The formal definition of a derivative is introduced and explained as well.
