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AP Calculus Applications of the Derivative Review

Mathematics

11th - 12th Grade

CCSS covered

Used 49+ times

AP Calculus Applications of the Derivative Review
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32 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the critical points of f(x) = 2x4- 4x2 + 1

x= 0
x = -1, 1
x = -1, 0, 1
no critical points

Tags

CCSS.HSA.APR.B.3

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What are the intervals of the graph increasing for f(x) = 2x4- 4x2 + 1

(-1,0)
(0,1)
(-∞,-1) and (1,∞)
(-1,0) and (1,∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the maximum value of f(x) = x3 - 3x2 - 1 on the interval [-3, 2]?

0
-1
2
5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

f' is given, which could be f?

A
B
C

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a function has a derivative that is negative, what does that tell you?

The function is increasing
The function is decreasing

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Over what interval(s) is f(x) decreasing?

(-3, 1)
(-∞, -5) ∪ (0, 2)
(-∞, -3) ∪ (1, ∞)
(-5, 0) ∪ (2, ∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Over what interval(s) is the particle moving left?

(0, 8)
(0, 7) ∪ (10, 12)
(0, 6) ∪ (10, 12)
(3, 8)

Tags

CCSS.HSF-IF.C.7B

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