Derivatives and Tangent Lines 3

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Taught by YourMathGal
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2575 views | 2 ratings
Part of video series
Meets NCTM Standards:
Lesson Description:

An introduction to derivatives and tangent lines to curves.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

Questions answered by this video:
  • 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?
  • Staff Review

    • Currently 4.0/5 Stars.
    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.