Derivatives Lesson Oct 6

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Derivatives Lesson Oct 6

  1. 1. Average and Instantaneous Rate of Change
  2. 2. B f(a +h) ­ f(a) distance A h a a + h time f(a+h) ­ f(a) average velocity =  h
  3. 3. B B f(a +h) ­ f(a) distance B A tangent line a a + h time Instantaneous rate of change:  lim f (a + h) ­ f(a) h      0 h
  4. 4. Find the slope of the tangent line at x = 1 on f(x) = x2. 
  5. 5. Find the slope of the tangent line at x = 1 on f(x) = x2.     now let     x      0
  6. 6. THE DEFINITION lim f(x + h) ­ f(x)  h      0 OF THE DERIVATIVE h f (a + h) ­ f(a) f (a) =  lim   ' h      0 h
  7. 7. Find the derivative of f(x) = x2
  8. 8. Exercise 2.2 questions 1 ­ 15    odd numbers 

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