Science:Math Exam Resources/Courses/MATH102/December 2015/Question 10 (b)
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Question 10 (b) 

Consider the function (solid curve) and its tangent line at (dashed). The graph of is symmetric about . Calculate the quantities below. (b) If , then 
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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. By the chain rule, the derivative of is . Plugging into , we can evaluate . From part (a), . On the other hand, since the graph is symmetric about . we have (Indeed, holds.) Therefore, . Answer: 