Question

Suppose that x=2 is a critical point of f(x)=x^(3)e^(−kx). Find the value of k:

Answer 1

finding critical numbers means you need to find derivative so find f'(x)

Answer 2

Product rule taking the derivative, when set equal to zero the value of x is 2, then solve for k.

Answer 3

so f'(2)=0 solve this for k

Answer 4

im still confused :/

Answer 5

im still confused :/