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Derivatives of Exponential Functions
Natural Exponential Function
If , then
Properties:
xxf ln)( xexf )(1
Solving Exponential – Natural Log Functions:
Rewrite one as the other with base e
Example: Solve 61ln 2 x
Example: Find the derivative
2
1
xexf
3.
4.
Differentiate the following functions:
1.
2.
3.
4.
Use logarithmic differentiation to find
Solution:
Let’s Practice!!!Differentiate each of the following:
1.
2.
3.
4.