If y = x x, then - Vidyadip

MCQ

If $y = x\sin x,$ then

✓
${1 \over y}{{dy} \over {dx}} = {1 \over x} + \cot x$
B
${{dy} \over {dx}} = {1 \over x} + \cot x$
C
${1 \over y}{{dy} \over {dx}} = {1 \over x} - \cot x$
D
None of these

✓

Answer

Correct option: A.

${1 \over y}{{dy} \over {dx}} = {1 \over x} + \cot x$

a
(a) $y = x\sin x$==>$\frac{{dy}}{{dx}} = x\cos x + \sin x$ ==>$\frac{1}{y}\frac{{dy}}{{dx}} = \cot x + \frac{1}{x}$.

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