GATE EE 2018 Set 1 — Question 53
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Engineering Mathematics → Calculus → Maxima & Minima
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Question
Let . The maximum value of over the interval is _______ (up to 1 decimal place).
Correct answer
11.5 to 12.5
Solution
To find the maximum value of on the interval , we first find the critical points by setting the first derivative to zero:
Critical points are and . Both points lie within the interval .Now, evaluate at the boundaries and the critical points:
Critical points are and . Both points lie within the interval .Now, evaluate at the boundaries and the critical points:
1.At :
2.At :
3.At :
4.At :
Comparing these values, the maximum value is .Continue learning with Success Tracker
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