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1 3.6 – Derivatives of Logarithmic Functions. 2 Rules Why is the absolute value needed?

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Presentation on theme: "1 3.6 – Derivatives of Logarithmic Functions. 2 Rules Why is the absolute value needed?"— Presentation transcript:

1 1 3.6 – Derivatives of Logarithmic Functions

2 2 Rules Why is the absolute value needed?

3 3 Rules

4 4 Try Theses: Basics Evaluate the following.

5 5 Try Theses Determine the first derivative of each of the following. Do only minor simplification.

6 6 Laws of Logarithms

7 7 Logarithmic Differentiation 1.Take the natural logarithms of both sides of an equation y = f(x). 2.Use the laws of logarithms to separate expressions. Be sure to create a single product or quotient on the right-hand side at this stage. 3.Differentiate implicitly with respect to x. 4.Solve the resulting equation for y′.

8 8 Examples Determine the first derivative of each of the following.

9 9 Try Theses Determine the first derivative of each of the following.

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