Section 3.9 Derivatives of Exponential and Logarithmic Functions

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Presentation transcript:

Section 3.9 Derivatives of Exponential and Logarithmic Functions AP Calculus Honors Ms. Olifer

What you’ll learn about Derivative of ex Derivative of ax Derivative of ln x Derivative of logax Power Rule for Arbitrary Real Powers … and why The relationship between exponential and logarithmic functions provides a powerful differentiation tool called logarithmic differentiation.

Derivative of ex

Example Derivative of ex

Derivative of ax

Derivative of ln x

Example: Derivative of ln x

Derivative of logax

Power Rule For Arbitrary Real Powers

Example: Power Rule For Arbitrary Real Powers