Assertion (A): \frac{d}{d x}(\frac{x^{2} \sin x}{\log x})=\frac{x^{2} \sin x}{\log x}(\cot x+\frac{2}{x}-\frac{1}{x \log x}) Reason (R): \frac{d}{d x}(\frac{u v}{w})=\frac{u v}{w}[\frac{u^{1}}{u}+\frac{v^{1}}{v}-\frac{w^{1}}{w}]

Correct Answer is : A is true, R is true and R is correct explanation of A

A is true, R is true and R is correct explanation of A

{A} is true, {R} is true and {R} is not correct explanation of {A}

{A} is not correct, {R} is correct

AP EAPCET 05-Jul-2022 Shift 1 Paper

Section: Mathematics

Question : 63 of 160

Marks: +1, -0

Assertion (A):

‌

(‌

x2‌sin‌x

log‌x

)=‌

x2‌sin‌x

log‌x

(cot‌x+‌

−‌

x‌log‌x

)

Reason (R): ‌

(‌

)=‌

[‌

+‌

−‌

]

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