GATE CE 2024 Set 2 — Question 14
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Engineering Mathematics → Calculus → Local Maxima & Minima
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Question
The function has
Correct answer
(B) Minima point
Solution
Given for .
1.Find the first derivative: .
2.Set to find critical points: .
3.Check which critical points lie in the interval . Only is within the range.
4.Find the second derivative: .
5.Evaluate the second derivative at the critical point : .
6.Since , the function has a local minimum at .
Thus, the function has a minima point in the given interval.Continue learning with Success Tracker
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