If {\f}^{'}( {\x})=\cos (\ln {\x}) and {\y}= {\f} ( {2 {\x}-3}/{ {\x}}), then what is \frac{d y}{d x} equal to? [NDA II 2023]

Correct Answer is : −3x2cos(ln(2x−3x))

\cos (\ln ( {2 {\x}-3}/{ {\x}}) )

-\frac{3}{ {\x}^2} \sin (\ln ( {2 {\x}-3}/{ {\x}}) )

\frac{3}{ {\x}^2} \cos (\ln ( {2 {\x}-3}/{ {\x}}) )

-\frac{3}{ {\x}^2} \cos (\ln ( {2 {\x}-3}/{ {\x}}) )

UPSC NDA II 2023 Mathematics Solved Paper

Question : 66 of 120

Marks: +1, -0

If f′(x)=cos(ln‌x) and y=f(‌

2x−3

), then what is ‌

equal to?

[NDA II 2023]

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