Rules for Differentiation

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Presentation transcript:

Rules for Differentiation 3.3 Rules for Differentiation

Quick Review

Quick Review

Quick Review

Quick Review Solutions

Quick Review Solutions

Quick Review Solutions

What you’ll learn about Positive Integer Powers, Multiples, Sums and Differences Products and Quotients Negative Integer Powers of x Second and Higher Order Derivatives … and why These rules help us find derivatives of functions analytically in a more efficient way.

Rule 1 Derivative of a Constant Function

Rule 2 Power Rule for Positive Integer Powers of x.

Rule 3 The Constant Multiple Rule

Rule 4 The Sum and Difference Rule

Example Positive Integer Powers, Multiples, Sums, and Differences

Example Positive Integer Powers, Multiples, Sums, and Differences

Rule 5 The Product Rule

Example Using the Product Rule

Rule 6 The Quotient Rule

Example Using the Quotient Rule

Rule 7 Power Rule for Negative Integer Powers of x

Example Negative Integer Powers of x

Second and Higher Order Derivatives

Second and Higher Order Derivatives

Quick Quiz Sections 3.1 – 3.3

Quick Quiz Sections 3.1 – 3.3

Quick Quiz Sections 3.1 – 3.3

Quick Quiz Sections 3.1 – 3.3

Quick Quiz Sections 3.1 – 3.3

Quick Quiz Sections 3.1 – 3.3