# Chain Rule, Leibnitz Notation and Inner and Outer Functions

Please see the attached file for the fully formatted problems.

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

https://brainmass.com/math/derivatives/148610

#### Solution Summary

The Chain Rule, Liebnitz Notation and Inner and Outer Functions are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.