022 Exam 2 Sample A, Problem 1

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Find the derivative of  

This problem is best approached through properties of logarithms. Remember that

You will also need to apply
The Chain Rule: If and are differentiable functions, then
Finally, recall that the derivative of natural log is


Step 1:  
We can use the log rules to rewrite our function as
Step 2:  
We can differentiate term-by-term, applying the chain rule to the first two terms to find

Final Answer:  

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