D EFINITION OF THE D ERIVATIVE Derivatives Review- 1.

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Presentation transcript:

D EFINITION OF THE D ERIVATIVE 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

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

1) Find the derivative using the limiting process

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

Graphs and their derivatives

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

4)Piecewise derivatives. a)Find f’(3) b)Find f’(4) c)Find f’(0)

H OME W ORK Page 104 # 5-23 odd and # and Worksheet 2-A derivatives