Lesson 2

10/26/03

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Table of Contents

To define the tangent line at an arbitrary point P on the curve and deduce its slope from the formula y = f(x):

(Fermat's)Difference Quotientfor a function f(x)

Average Rate of Change

Slope of a Curve

Instantaneous Rateof Change

Derivative of a Function

Steps to calculate f ' (x)

Significance of the Sign of the Derivative f ' (x)

Evaluation Notation

Differentiability implies Continuity

Differentiable Functions

Example: Profit

Example: Profit

Example: Profit

Example: Profit

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