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# Chain Rule, Leibnitz Notation and Inner and Outer Functions

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The Chain Rule states how to differentiate composite functions

If and be differentiable, then the derivative of the composite function is

In Leibnitz notation, if and , then .
For example,

or

The derivative of the exponential function is

3. Identify the inner function and the outer function in . Then find the derivative .
4. Identify the inner function and the outer function in the following: . Then find the derivative .
5. Identify the inner function and the outer function in the following: . Then find the derivative

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