Calculus Question

Question

Find the absolute extreme values of the function on the interval.

f(x)= e^x - x; 5≤ x≤ 2

Answer 1

Graph this function.

You will see that the maximum and minimum points occur at the endpoints of the interval in question.

BTW: your interval is BACKWARDS!!!!

Answer 2

f'(x) = e^x-x

0 = e^x-1 ---> e^x = 1 ---> x = ln 1 = 0

f(0) = 1-0 = 1

(0,1) is the absolute min