JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

f

is a differentiable function such that

f\left(\frac{x}{y}\right)=\frac{f(x)}{f(y)}, x \neq 0, y \neq 0, f(y) \neq 0

. If

f^{\prime}(1)=2

, then

f^{\prime}(x)=\ldots \ldots

View answer and explanation

Correct option: D

\frac{2 f(x)}{x}

Option C (

\frac{\pi}{3}

) is correct because by using the sine rule and differentiating, we find the angle to be

\frac{\pi}{3}

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