Science:Math Exam Resources/Courses/MATH100/December 2014/Question 04 (c)
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Question 04 (c) 

Consider the function . Use a linear approximation to estimate . 
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 the equation of a linear approximation. Use the linear approximation (tangent line) in . 
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 

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Please rate my easiness! It's quick and helps everyone guide their studies. The general form of a linear approximation at is We need and its derivative, both at :
Hence and . 