Question

Differentiate (8x+7)e^x with respect to x

Answer 1

Answer:

8 e^x+(8x+7)e^x

Step-by-step explanation:

We have,

$y = (8x + 7)e^{x}$

Differentiating both sides, we get,

$\frac{dy}{dx} = \frac{d{(8x + 7)e ^{x} }}{dx}$

$= \frac{dy}{dx} = {e}^{x} \times \frac{d(8x + 7)}{dx} + (8x + 7) \times \frac{d( {e}^{x} )}{dx}$

$= \frac{dy}{dx} = 8 {e}^{x} + (8x + 7) {e}^{x}$

Hope this will help you ..!