ln 6
f’(b) – f’(a)
(b – a)[f(b) – f(a)]
(d – c)[f(b) – f(a)]
I only
II only
III only
II and III only
I, II and III
a + 2b + 5
5b – 5a
7b – 3a
7b – 5a
7b – 6a
3
1
–1
–3
–5
ln(2x3 + 1) + C
The graph of y = 3x4 – 16x3 + 24x2 + 48 is concave down for
x < 0
x > 0
6x2 sin(x3) cos (x3)
6x2 cos (x3)
Sin2(x3)
–3x2 sin(2x3)
–2 sin(x3) cos (x3)
0.000
14.034
34.415
46.000
136.364
3(
9(
The top of a 25-foot ladder is sliding down a vertical wall at a constant rate of 3 feet per minute. When the top of the ladder is 7 feet from the ground, what is the rate of change of the distance between the bottom of the ladder and the wall?
If the second derivative of f is given by
f”(x) = 2x – cos x, which of the following could be f(x)?
x3 + cos x – x + 1
x2 – sin x + 1
x2 + sin x + 1
0
1
e – 1
e
e + 1
(
–5
–1
0
1
5