Question

find dy/dx of y=e^(-5x^2)

Answer 1

\[d[e^{u}] = e^{u} du\]

Answer 2

I don't know if I wrote that out right.

Answer 3

Ani, you remember the derivative of e^x?

Answer 4

yeah its just e^x right?

Answer 5

Good, same thing happening here,\[\Large\bf\sf \frac{d}{dx}e^{-5x^2}\quad=\quad e^{-5x^2}\cdot \color{royalblue}{\frac{d}{dx}(-5x^2)}\]Exponential gives us the same thing back.
We just need to apply the chain rule since the exponent is more than simply `x`.

Answer 6

So we need to multiply by the derivative of the exponent.

Answer 7

so e^(-5x^)(-10x)

Answer 8

Yayyyy good job \c:/

Answer 9

lol thank you ^_^