First derivative and its graph

First derivative and its graph

10th Grade - University

20 Qs

quiz-placeholder

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First derivative and its graph

First derivative and its graph

Assessment

Quiz

Mathematics

10th Grade - University

Medium

CCSS
HSF.IF.B.4, HSA.APR.B.3, HSA-SSE.B.3B

+5

Standards-aligned

Used 45+ times

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20 questions

Show all answers

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,∞)
(0,1) and (-1,0)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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?

f'(x) < 0 (negative)
f'(x) > 0 (positive)
f'(x) is increasing
Can't be determined

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Differentiate f(x) = x3.

x^4
3x^3
3x^2
6x

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Differentiate f(x) = 5x7.

35x^6
210x^5
5x^6
1050x^4

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Differentiate f(x) = 4x2.

8x
16x
16x^2
8x^2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the derivative of f(x) = 2x2+3.

4x
4x2
3
2x2+3

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