Question

How do you find the derivative of `f(x) = (5x^2 + 11)e^(-21x)`?

Answer 1

`f'(x)=-21*(5x^2 + 11)*e^(-21x)+(10x)*e^(-21x)`

Explanation:

show below

`f(x) = (5x^2 + 11)*e^(-21x)`

`f'(x)=(5x^2 + 11)*-21*e^(-21x)+e^(-21x)*(10x)`

`f'(x)=-21*(5x^2 + 11)*e^(-21x)+(10x)*e^(-21x)`