Let y=sinxex - Infinity Learn

A
$\frac{\cos x + \sin x}{e^{x}}$
B
$\frac{\sin x - \cos x}{e^{x}}$
C
$\frac{\cos x - \sin x}{e^{x}}$
D
$\frac{\sin x + \cos x}{e^{x}}$

Solution:

$\frac{d}{d x} (y) = \frac{d}{d x} (\frac{\sin x}{e^{x}}) = \frac{e^{x} . \frac{d}{d x} (\sin x) - \sin x \frac{d}{d x} (e^{x})}{{(e^{x})}^{2}} = \frac{e^{x} . \cos x - \sin x (e^{x})}{e^{2 x}} = \frac{\cos x - \sin x}{e^{x}}$

Let $y = \frac{\sin x}{e^{x}}$

Solution:

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