JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Analyzing +4 | -1

f(x)=\sin (\sin x)

and

f^{\prime \prime}(x)+\tan x f^{\prime}(x)+g(x)=0

, then

g(x)

is :

View answer and explanation

Correct option: D

\cos ^{2} x \sin (\sin x)

Option D is correct. By differentiating f(x) twice and substituting into the given equation, we can solve for g(x) and find that it equals

\cos ^{2} x \sin (\sin x)

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