DIFFERENTIATION APPLIED MATHEMATICS Informatics Engineering, Sam Ratulangi University Feisy Diane Kambey, ST, MT Larson, R., Edwards, B.H., Calculus 9.

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DIFFERENTIATION APPLIED MATHEMATICS Informatics Engineering, Sam Ratulangi University Feisy Diane Kambey, ST, MT Larson, R., Edwards, B.H., Calculus 9 th Edition, Brooks/Cole, Cengage Learning, 2010

TANGENT LINE AND DIFFERENTIATION

Tangent Line Problem

Slope of Secant Line The word secant comes from the Latin secare, meaning to cut, and is not a reference to the trigonometric function of the same name.

Slope of Tangent Line

Vertical Tangent Line

Derivative of a Function

BASIC DIFFERENTIATION RULES

Basic Differentiation Rules

Higher Order Derivatives

The Chain Rule

Decomposition of a Composite Function

The General Power Rule

Trigonometric and The Chain Rule

Summary of Diffrentiation Rule

Implicit Differentiation