y=exlogx.sinx then dydx= - Infinity Learn

A
$e^{x} (\log x \cos x + \frac{\sin x}{x} + \log x \sin x)$
B
$e^{x} (\log x \cos x - \frac{\sin x}{x} + \log x \sin x)$
C
$e^{x} (\log x + \frac{\sin x}{x} + \log x \sin x)$
D
all the above

Solution:

$\begin{array}{l} y = e^{x} \log x \sin x \\ y^{1} = e^{x} \log x \frac{d}{d x} (\sin x) + e^{x} \sin x \frac{d}{d x} (\log x) + \log x . \sin x \frac{d}{d x} (e^{x}) \\ y^{1} = e^{x} \log x \cos x + \frac{e^{x} \sin x}{x} + e^{x} \log x \sin x \\ \frac{d y}{d x} = e^{x} (\log x \cos x + \frac{\sin x}{x} + \log x \sin x) \end{array}$

$y = e^{x} \log x . \sin x t h e n \frac{d y}{d x} =$

Solution:

Related content