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CGP EDU Academic Team
Published on: August 12, 2026
A continuous, differentiable function is monotonic increasing if f '(x) ≥ 0, monotonic decreasing if f '(x) ≤ 0. Maximum and minimum value exist at point where f '(x) = 0 or at end points.
(i) Maximum value of f(x) = 
, 0 < x < ∞ is-
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Ans.
(i)
Sol. f '(x) = 
= 
f '(x) = 0 ⇒ x = e
(ii)
Sol. f '(x) ≠ 0
(iii)
Sol. f(–3) = 21 f(1) = 1
f '(x) = 0 at x = 
not in domain.
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