$$\lim_{x\rightarrow7}\ \frac{\frac{1}{\sqrt[]{x^2-2x}}-\frac{1}{\sqrt[]{35}}}{x-7}$$ The limit represents the instantaneous rate of change of a function. Identify the original function, and the x-value of the instantaneous rate of change.

Function: $$f\left(x\right)=\frac{1}{\sqrt[]{x^2}-2x}$$ Instantaneous rate at $$x=7$$

Function: $$f\left(x\right)=2x^2-6x+2$$ Instantaneous rate at $$x=4$$

Function: $$f\left(x\right)=1x^2-4x+2$$ Instantaneous rate at $$x=7$$

Function: $$f\left(x\right)=3x^2-7x+1$$ Instantaneous rate at $$x=3$$

$$\lim_{x\rightarrow-2}\ \frac{\left(3x-9x^2\right)+\left(42\right)}{x+2}$$ The limit represents the instantaneous rate of change of a function. Identify the original function, and the x-value of the instantaneous rate of change.

Function: $$f\left(x\right)=3x-9x^2$$ Instantaneous rate at $$x=-2$$

Function: $$f\left(x\right)=2x-4x^2$$ Instantaneous rate at $$x=-2$$

Function: $$f\left(x\right)=5x-4x^2$$ Instantaneous rate at $$x=-1$$

Function: $$f\left(x\right)=6x-3x^2$$ Instantaneous rate at $$x=-1$$

$$\lim_{x\rightarrow0}\ \frac{3\ln\left(2+h\right)-3\ln2}{h}$$ The limit represents the instantaneous rate of change of a function. Identify the original function, and the x-value of the instantaneous rate of change.

Function: $$f\left(x\right)=3\ln x$$ Instantaneous rate at: $$x=2$$

Function: $$f\left(x\right)=1\ln x$$ Instantaneous rate at: $$x=5$$

Function: $$f\left(x\right)=6\ln x$$ Instantaneous rate at: $$x=1$$

Function: $$f\left(x\right)=4\ln x$$ Instantaneous rate at: $$x=3$$

$$\lim_{h\rightarrow0}\ \frac{3\left(1+h\right)^2-7\left(1+h\right)+1+\left(3\right)}{h}$$ The limit represents the instantaneous rate of change of a function. Identify the original function, and the x-value of the instantaneous rate of change.

Function: $$f\left(x\right)=3x^2-7x+1$$ Instantaneous rate at: $$x=1$$

Function: $$f\left(x\right)=7x^2-4x+3$$ Instantaneous rate at: $$x=8$$

Function: $$f\left(x\right)=5x^2-8x+1$$ Instantaneous rate at: $$x=2$$

Function: $$f\left(x\right)=1x^2-3x+2$$ Instantaneous rate at: $$x=3$$

$$\lim_{x\rightarrow\frac{\pi}{2}}\ \frac{6x^2\sin x-\frac{3\pi^2}{2}}{x-\frac{\pi}{2}}$$ The limit represents the instantaneous rate of change of a function. Identify the original function, and the x-value of the instantaneous rate of change.

Function: $$f\left(x\right)=6x^2\sin x$$ Instantaneous rate at: $$x=\frac{\pi}{2}$$

Function: $$f\left(x\right)=3x^2\sin x$$ Instantaneous rate at: $$x=\frac{\pi}{3}$$

Function: $$f\left(x\right)=4x^2\sin x$$ Instantaneous rate at: $$x=3$$

Function: $$f\left(x\right)=7x^2\sin x$$ Instantaneous rate at: $$x=5$$

$$\lim_{h\rightarrow0}\ \frac{\log\left(2-4\left(h-5\right)\right)-\log\left(22\right)}{h}$$ The limit represents the instantaneous rate of change of a function. Identify the original function, and the x-value of the instantaneous rate of change.

$$f\left(x\right)=\log\left(2-4x\right)$$ Instantaneous rate at: $$x=-5$$

$$f\left(x\right)=\log\left(3-1x\right)$$ Instantaneous rate at: $$x=-5$$

$$f\left(x\right)=\log\left(4-3x\right)$$ Instantaneous rate at: $$x=-2$$

$$f\left(x\right)=\log\left(6-4x\right)$$ Instantaneous rate at: $$x=-1$$

$$\lim_{x\rightarrow5}\frac{\frac{1}{\sqrt[]{3x}}-\frac{1}{\sqrt[]{15}}}{x-5}$$ The limit represents the instantaneous rate of change of a function. Identify the original function, and the x-value of the instantaneous rate of change.

$$f\left(x\right)=\frac{1}{\sqrt[]{3x}}$$ Instantaneous rate at: $$x=5$$

$$f\left(x\right)=\frac{2}{\sqrt[]{1x}}$$ Instantaneous rate at: $$x=2$$

$$f\left(x\right)=\frac{4}{\sqrt[]{2x}}$$ Instantaneous rate at: $$x=3$$

$$f\left(x\right)=\frac{6}{\sqrt[]{3x}}$$ Instantaneous rate at: $$x=4$$

$$\lim_{h\rightarrow0}\ \frac{e^{6\left(3+h\right)+1}-e^{10}}{h}$$ The limit represents the instantaneous rate of change of a function. Identify the original function, and the x-value of the instantaneous rate of change.

$$f\left(x\right)=e^{6x+1}$$ Instantaneous rate at: $$x=3$$

$$f\left(x\right)=e^{4x+2}$$ Instantaneous rate at: $$x=5$$

$$f\left(x\right)=4^{3x+2}$$ Instantaneous rate at: $$x=2$$

$$f\left(x\right)=8^{2x+4}$$ Instantaneous rate at: $$x=6$$

Calculus Unit 2

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

8.F.B.4, HSF.IF.A.2, HSA.SSE.A.1

+7

Standards-aligned

Curtis Raynor

Used 6+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

1

5

2

4

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$2/year

$9/year

$4/year

$6/year

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

0.261

0.250

0.251

0.252

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

0.460

0.450

0.459

0.451

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

-6

-5

-1

-3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

Plant Transport Systems Quiz

Quiz

•

5th Grade - University

15 questions

Supplementary angles

Quiz

•

7th - 11th Grade

20 questions

Math 10C Labelling Right Triangles

Quiz

•

8th - 11th Grade

15 questions

Post-Test in Module 2: Normal Distribution

Quiz

•

11th Grade

17 questions

Statistics & Probability: Summative Test 2

Quiz

•

11th Grade

20 questions

More Ordering Fractions Decimals Percents Greatest to Least

Quiz

•

6th Grade - University

15 questions

Solve by Completing the Square

Quiz

•

9th Grade - University

20 questions

Q3 Summative Test 2-GEOMETRY

Quiz

•

8th Grade - University

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade

10 questions

Key Features of Quadratic Functions

Interactive video

•

8th - 12th Grade

11 questions

Exponent Quotient Rules A1 U7

Quiz

•

9th - 12th Grade

18 questions

Integer Operations

Quiz

•

5th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems

Quiz

•

9th - 12th Grade

10 questions

complementary and Supplementary angles

Quiz

•

9th - 12th Grade