Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let f(x) = sin x; g(x) = x 2 and h(x) = log x.
If u (x) = h (f (g (x))), then 
is
Text Solution
Verified by ExpertsThe correct answer is:
B
u(x) = h(f (g(x))) = h(f(x 2 )) = h (sin x 2 ) = log sin x 2
Hence u ′ (x) = 2 x cot x 2 and u ′′ (x) = 2 cot x
2 – 4x 2 cosec 2 x 2 .
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