Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let f, g and h be real-valued functions defined on the interval [0, 1] by f(x) = 
+ 
,
g(x) = 
+ 
and h(x) = 
+ 
. If a, b and c denote, respectively, the absolute maximum of f, g and h on [0, 1], then
Text Solution
Verified by ExpertsThe correct answer is:
D
Clearly Li"V f(x) = 
+ 
f ′ (x) = 2x ( 
– 
) ≥ 0 increasing o) ⇒ f max = f(1) = e + 
g(x) = x 
+ 
⇒ g'(x) = 
+ 2x 2 
– 2x 
> 0 increasing o)
⇒ g max = g(1) = e + 
h(x) = x 2 
+ 
⇒ h ′ (x) = 2x 
+ 2x 3 
– 2x 
= 2x 
> 0
⇒ h max = h(1) = e + 
,
so blfy, a = b = c
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