Science:Math Exam Resources/Courses/MATH110/December 2016/Question 02 (d)
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Question 02 (d) 

Estimate using an appropriate linear approximation of 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 

Recall that the linear approximation of a function at the point is . 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Let , and . Then we also have , , . By the Hint, the linear approximation is Answer: . 