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P1 Differentiation Review (Super Version)

Authored by Yuxin Wang

Mathematics

12th Grade

CCSS covered

Used 3+ times

P1 Differentiation Review (Super Version)
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24 questions

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1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

If f '(3) = 0 and f"(3) < 0, then which of the following must be true?

There is a maximum point at x=3

There is a minimmum point at x = 3

There is a point of inflection at x = 3

There is an x-intercept at x = 3

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

The gradient of a function is described by its ____________.

first derivative
second derivative
third derivative
expression

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

For a function g(x), g''(3)=-8 indicates that g(x) is ____________ at x=3.

increasing
decreasing
concave up
concave down

Tags

CCSS.HSF-BF.B.4A

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

The graph shown is the DERIVATIVE of f. From the derivative's graph, identify the interval graph where f (the original function) is concave up.

(-1,1) & (3,4)
(-3,-2)
(-2,-1)
(-3,-1) & (1,3)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

(-1,0)

(0,1)

(-∞,-1) and (0,1)

(1,∞) and (-1,0)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

0
-1
2
5

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which graph is the derivative of the top graph?

A
B
C
D

Tags

CCSS.HSF.IF.B.4

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