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Derivatives of exponentials and Logarithms

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Presentation on theme: "Derivatives of exponentials and Logarithms"— Presentation transcript:

1 Derivatives of exponentials and Logarithms
3.1

2 Find the derivative: Getting started

3 Logarithmic Differentiation
Take the natural log of both sides of the equation. Expand the logarithm Differentiate implicitly Substitute for y at the end. Logarithmic Differentiation

4 Logarithmic Differentiation
When to use: When there are multiple product, quotient, and chain rules in succession When there is a variable in both the base and the exponent of a term. Logarithmic Differentiation

5 Find the derivative: Example

6 Find the derivative: Example

7 Find the derivative Example

8 Find the derivative: Example

9 Pg 179 # Homework


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