Consider the function f(x)=xe^(−5x),0≤x≤2.

Question

Consider the function f(x)=xe^(−5x),0≤x≤2.

This function has an absolute minimum value equal to:

which is attained at x=

and an absolute maximum value equal to:

which is attained at x=

Answer 1

The derivative is -5xe^-5x+e^-5x and when set = 0, x=1/5

This is the maximum point.

Plug that value into the original function to get the value of the maximum.