GATE CE 2016 Set 2 — Question 12
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Engineering Mathematics → Calculus → Local Maxima & Minima
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Question
The optimum value of the function is
Correct answer
(D) -2 (minimum)
Solution
1.Given .
2.Find the first derivative: .
3.Set to find critical points: .
4.Find the second derivative: .
5.Since , the function has a minimum at .
6.The minimum value is .
7.Thus, the optimum value is -2 (minimum).
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