# What is the derivative of 7y= e^(-x^2) ?

Jan 9, 2016

$\frac{\mathrm{dy}}{\mathrm{dx}} = - \frac{2 x {e}^{- {x}^{2}}}{7}$

#### Explanation:

Implicitly differentiating with respect to $x$:

$7 \frac{\mathrm{dy}}{\mathrm{dx}} = - 2 x {e}^{- {x}^{2}}$

(The right side used chain rule: $\frac{d}{\mathrm{dx}} \left[{e}^{u}\right] = {e}^{u} \cdot u '$.)

$\frac{\mathrm{dy}}{\mathrm{dx}} = - \frac{2 x {e}^{- {x}^{2}}}{7}$