Science:Math Exam Resources/Courses/MATH103/April 2017/Question 02 (b) (ii)
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Question 02 (b) (ii) 

Consider the functions and calculate their derivatives . (ii) 
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 fundamental theorem of calculus. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Let be a function defined by
Then, we can rewrite the given function as
Here the second last equality follows from the properties of logarithmic function, and . Answer: 