Science:Math Exam Resources/Courses/MATH110/December 2014/Question 07 (b)
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Question 07 (b) 

Differentiate the following functions. You may leave your answers unsimplified. (b) . 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Use the chain rule. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Putting and , we can write the given function as a composition function . Then, by the chain rule, we have the derivative of ; . To get the derivative of , we again use the chain rule with and ; . Plugging this back to the equation, we get . 