022 Exam 1 Sample A, Problem 8

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8. Find the derivative of the function . You do not need to simplify your answer.

Foundations:  
This problem involves some more advanced rules of differentiation. In particular, it requires
The Chain Rule: If and are differentiable functions, then

    

The Quotient Rule: If and are differentiable functions and  , then

    

Solution:  
Note that we need to use chain rule to find the derivative of . Then we find
      


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