Derivatives and Critical Points

Derivatives and Critical Points

12th Grade

10 Qs

quiz-placeholder

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Derivatives and Critical Points

Derivatives and Critical Points

Assessment

Quiz

Mathematics

12th Grade

Medium

CCSS
HSF.IF.B.4

Standards-aligned

Created by

Paul Conroy

Used 1+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which one of the following statements is always true?

When a graph is increasing, its derivative is negative.

When a graph is decreasing, so is its derivative.

When a graph is decreasing, its derivative is negative.

When a graph is increasing, so is its derivative.

Tags

CCSS.HSF.IF.B.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For a function g(x), g'(-2)=0 indicates that x=-2 is ________________.

an inflection point
a critical point
a relative maximum
a relative minimum

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If given f'(x) how would you find the intervals which the graph f(x) has a positive slope( increasing)?

f'(x) < 0 (negative)

f'(x) > 0 (positive)

f'(x) is increasing

Can't be determined

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When f'(x) changes from positive to negative, there is(are) ...

a maximum.
a minimum.
no extrema.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

f' is given, which could be f?

A
B
C

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the critical points of the following function:
g(x)=2x3-3x2

x=-1,1
x=0,0
x=0,-1
x=0,1

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What is the relative maximum value?

y = 4
y = 2
y = 1
y = -1

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