Question

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

Answer 1

`dy/dx=-(2xe^(-x^2))/7`

Explanation:

Implicitly differentiating with respect to `x`:

`7dy/dx=-2xe^(-x^2)`

(The right side used chain rule: `d/dx[e^u]=e^u*u'`.)

`dy/dx=-(2xe^(-x^2))/7`