# Function f(x)=(x^3)(e^x) is strictly increasing on the interval of?

##### 1 Answer

Jun 24, 2018

Find the first derivative:

#f’(x) = 3x^2e^x +x^3e^x#

Now determine the values of

#3x^2e^x + x^3e^x =0#

#x^2e^x(3+ x) = 0#

It follows that

We see that the derivative is positive whenever

Hopefully this helps!