Question

Consider the function f(x)=xe^−4x, 0≤x≤2.

This function has an absolute maximum value equal to ? which is attained at x= ?

Answer 1

the absolute min is at 0 and 0 respectively.

Answer 2

I got x=1/4
see attached

Answer 3

f'=e^(-4x)-4x*e^(-4x)=0
1-4x=0
x=1/4

Answer 4

if x=1/4 is max, put the value of x in original equation & find f(1/4)

Answer 5

worked, thanks :]

Answer 6

welcome:D