Question
What is the total change of f(x), if f'(x) = 2x - 3x^2, over the interval [0, 3]?
Answers
Reiny
if f ' (x) = 2x- 3x^2
f(x) = x^2 - x^3 + c
f(0) = 0-0+c
f(3) = 9 + 27 + c = 36+c
change from f(0) to f(3)
= 36+c - c
= 36
f(x) = x^2 - x^3 + c
f(0) = 0-0+c
f(3) = 9 + 27 + c = 36+c
change from f(0) to f(3)
= 36+c - c
= 36
Jamie
My only options are:
-12
6
-18
-6
-12
6
-18
-6
Steve
Oops. Flipped a minus sign
f(3) = 9-27+c = -18+c
total change is thus -18
f(3) = 9-27+c = -18+c
total change is thus -18