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Definition of the Derivative

Definition of the Derivative. Derivatives Review- 1. Tangent Line Problem . The tangent line can be found by finding the slope of the secant line through the point of tangency and a point on the curve. Theorem 2-1. Differentiability implies continuity Not the other way around.

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Definition of the Derivative

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  1. Definition of the Derivative Derivatives Review- 1

  2. Tangent Line Problem The tangent line can be found by finding the slope of the secant line through the point of tangency and a point on the curve

  3. Theorem 2-1 Differentiability implies continuity Not the other way around

  4. Definition of the Derivative For a function f(x) the average rate of change along the function is given by: Which is called the derivative of f Notation:

  5. 1) Find the derivative using the limiting process

  6. 2) Find the equation of the tangent line through the point (-2 , 2)

  7. Graphs and their derivatives

  8. The graph of f(x) is given. Sketch the graph of f’

  9. Piecewise derivatives. • Find f’(3) • Find f’(4) • Find f’(0)

  10. Home Work Page 104 # 5-23 odd and # 39-48

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