The Derivatives of ax and logax OBJECTIVE Differentiate functions involving ax. Differentiate functions involving logax. Copyright © 2014 Pearson Education, Inc.

3.5 The Derivatives of ax and logax THEOREM 12 Copyright © 2014 Pearson Education, Inc.

3.5 The Derivatives of ax and logax Example 1: Differentiate: Copyright © 2014 Pearson Education, Inc.

3.5 The Derivatives of ax and logax Quick Check 1 Differentiate: a.) b.) c.) Copyright © 2014 Pearson Education, Inc.

3.5 The Derivatives of ax and logax THEOREM 14 Copyright © 2014 Pearson Education, Inc.

3.5 The Derivatives of ax and logax Example 2: Differentiate: Copyright © 2014 Pearson Education, Inc.

3.5 The Derivatives of ax and logax Example 2 (concluded): Copyright © 2014 Pearson Education, Inc.

3.5 The Derivatives of ax and logax Quick Check 2 Differentiate: a.) b.) c.) d.) Copyright © 2014 Pearson Education, Inc.

3.5 The Derivatives of ax and logax Section Summary The following rules apply when we differentiate exponential and logarithmic functions whose bases are positive but not the number : Copyright © 2014 Pearson Education, Inc.