Science:Math Exam Resources/Courses/MATH104/December 2013/Question 01 (d)
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Question 01 (d) 

Find the slope of the tangent line to at . 
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 

Remember that the slope of the tangent line is the same as the derivative at the given point. 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 1 

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Please rate my easiness! It's quick and helps everyone guide their studies. Using the hint, we find the derivative at the given point. Applying the chain rule we find

Solution 2 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. Using the hint, we find the derivative at the given point. In the first step below, we use our logarithm rules to see that . Hence
