JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

y=\sin (\sin x)

, and

\frac{d^{2} y}{d x^{2}}+\frac{d y}{d x} \tan x+f(x)=0

, then

f(x)

View answer and explanation

Correct option: D

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

The correct answer is D (

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

) because it is the function f(x) that satisfies the given differential equation after finding the first and second derivatives of y.

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x

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