JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

f^{\prime}(x)=\sin ^2 x

and

y=f\left(\frac{2 x-1}{x^2+1}\right)

then

d y / d x

x=1

View answer and explanation

Correct option: D

\frac{1}{2} \sin ^2\left(\frac{1}{2}\right)

Option D is correct because it is the result of applying the chain rule and evaluating the derivative at x=1.

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