${d \over {dx}}({x^2}{e^x}\sin x) = $

  • A
    $x\,{e^x}(2\sin x + x\sin x + x\cos x)$
  • B
    $x\,{e^x}(2\sin x + x\sin x - \cos x)$
  • C
    $x\,{e^x}(2\sin x + x\sin x + \cos x)$
  • D
    None of these

Similar Questions

${d \over {dx}}\log (\log x)$=

If $y = x + {1 \over x}$, then

Magnitude of slope of the shown graph.

Frequency $f$ of a simple pendulum depends on its length $\ell$ and acceleration $g$ due to gravity according to the following equation $f=\frac{1}{2 \pi} \sqrt{\frac{ g }{\ell}}$. Graph between which of the following quantities is a straight line?

If $y = 1 + x + {{{x^2}} \over {2\,!}} + {{{x^3}} \over {3\,!}} + ..... + {{{x^n}} \over {n\,!}}$, then ${{dy} \over {dx}} = $