If $y = f\left( x \right)$ and $y\cos x + x\cos y = {\rm{\pi }}$, then the value of $f''\left( 0 \right)$ is

JEE MATHEMATICS MCQ: DIFFERENTIATION

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y = f\left( x \right)

and

y\cos x + x\cos y = \mathrm{\pi }

, then the value of

f''\left( 0 \right)

View answer and explanation

Correct option: A

\pi

Option A (

\pi

) is correct because, after implicit differentiation and substitution, the value of

f''(0)

is found to be equal to

\pi

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