1 Sections 12.4 - 12.5 Derivatives of Exponential and Logarithmic Functions.

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Presentation transcript:

1 Sections Derivatives of Exponential and Logarithmic Functions

2 Derivative of Exponential Functions General Form (Chain Rule)Basic Functions

3 Examples Find dy/dx for the following functions.

4 Examples Find dy/dt for the function.

5 Derivative of Logarithmic Functions General Form (Chain Rule)Basic Functions

6 Examples Find dy/dx for the following functions.

7 Examples Find y’ for the function.

8 Example (#38 on page 781) The cost in dollars to produce x DVDs can be approximated by. Find and interpret the marginal cost when the following quantities are made a)0 b)20 c)What happens to the marginal cost as the number produced becomes larger and larger? d)Find the average cost for producing 30 DVDs

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