# AP Calculus AB: Derivation and Integretion online Test


2
1
-1
0
3

2
4
6
36
42


1
-1
Infinity
Does not exist
0
A puppy weighs 2 pounds at birth and 3 pounds two months later. If the weight of the puppy during its first 6 months is increasing at a rate proportional to its weight, then how much will the puppy weigh when it is 4 months old?
4.2 pounds
4.5 pounds
4.8 pounds
5.6 pounds
6.5 pounds
If ƒ(x) = ln(x2 – 1), then ƒ’(x) =

There are no such values of x
x < –1 and x > 3
–3 < x < 1
–1 < x < 3
All values of x


0
1
2
3
4

-1
0
1
2
4

1
-1
0
Does not exist
2

None of these
What is the minimum value of f(x) = x ln x?
–e
–1
0
f(x) has no minimum value


None of these


1
2
3
4
5


(2, 2)
The area of the region enclosed by the graph of y = x2 + 1 and the line y = 5 is
14/3
16/3
28/3
32/3
8(
Description:

This test contains twenty questions on Derivatives and Applications of derivatives, Integrals, Application of Integrals. Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number. Wherever appeared, lnx represents the natural logarithm of x with base e. Sometimes, the options may not contain exact numerical value of an answer. In that case, select best approximation to the numerical value you got. After examining the form of the choices, decide the best of the choices given

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