GATE EE 2014 Set 2 — Question 38
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Engineering Mathematics → Calculus → Maxima & Minima
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Question
The minimum value of the function in the interval is
Correct answer
(B) 28
Solution
To find the minimum value of in the interval , we first find the critical points by setting the derivative to zero:
The critical points are and . Only lies within the interval .
Now, we evaluate the function at the endpoints and the critical point within the interval:
The critical points are and . Only lies within the interval .
Now, we evaluate the function at the endpoints and the critical point within the interval:
1.At :
2.At :
3.At :
Comparing these values, the minimum value in the interval is 28, which occurs at .Continue learning with Success Tracker
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