GATE EC 2015 Set 1 — Question 38
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Engineering Mathematics → Calculus → Maxima & Minima
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Question
Which one of the following graphs describes the function ?
Correct answer
(B) [figure]
Solution
Given .
1.At , .
2.As , because the exponential term dominates.
3.Find critical points: .
4. at and .
5.For , (function is increasing).
6.For , (function is decreasing).
7..
The function starts at 1, increases to a maximum at , and then decays to 0. Graph (B) represents this behavior.Continue learning with Success Tracker
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