Question

how do you fine the dy/dx for the function e^{−x{^3}}?

Answer 1

What is the rule for the derivative of e^x?

Answer 2

d [e^{−x{^3}}]/dx

Answer 3

d/dx e^x =e^x

Answer 4

use the rule

for

\[y = e^{f(x)}\]

then the derivative is

\[\frac{dy}{dx} = f'(x) \times e^{f(x)}\]