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

There is a max where it is negative

There is a min where it is negative

y = sin ⁡ ( 3 x ) , t h e n d y d x = y=\ \sin\left(3x\right),\ then\ \frac{dy}{dx}= y = sin ( 3 x ) , t h e n d x d y =

3 cos ⁡ ( 3 x ) 3\cos\left(3x\right) 3 cos ( 3 x )

− 1 3 cos ⁡ ( 3 x ) -\frac{1}{3}\cos\left(3x\right) − 3 1 cos ( 3 x )

− cos ⁡ ( 3 x ) -\cos\left(3x\right) − cos ( 3 x )

− 3 cos ⁡ ( 3 x ) -3\cos\left(3x\right) − 3 cos ( 3 x )

If f ( x ) = e x f\left(x\right)=e^x f ( x ) = e x ,which of the following is equivalent to f ′ ( e ) f'\left(e\right) f ′ ( e ) ?

lim ⁡ h ⟶ 0 e ( e + h ) − e e h \lim_{h\longrightarrow0}\ \frac{e^{\left(e+h\right)}-e^e}{h} h ⟶ 0 lim h e ( e + h ) − e e

lim ⁡ h ⟶ 0 e ( e + h ) − e h \lim_{h\longrightarrow0}\ \frac{e^{\left(e+h\right)}-e}{h} h ⟶ 0 lim h e ( e + h ) − e

lim ⁡ h ⟶ 0 e ( x + h ) − 1 h \lim_{h\longrightarrow0}\ \frac{e^{\left(x+h\right)}-1}{h} h ⟶ 0 lim h e ( x + h ) − 1

lim ⁡ h ⟶ 0 e ( x + h ) − e e h \lim_{h\longrightarrow0}\ \frac{e^{\left(x+h\right)}-e^e}{h} h ⟶ 0 lim h e ( x + h ) − e e

y = 2 x , f i n d d y d x y=2^x,\ find\ \frac{dy}{dx} y = 2 x , f i n d d x d y

2 ( x − 1 ) 2^{\left(x-1\right)} 2 ( x − 1 )

2 x ln ⁡ 2 \frac{2x}{\ln2} ln 2 2 x

2 ( x − 1 ) x 2^{\left(x-1\right)}x 2 ( x − 1 ) x

How many derivatives can you take of a function?

until you can no longer derive it

Quiz on Derivatives

Authored by Ganesh Shiwakoti

Mathematics

11th Grade

CCSS covered

Used 6+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

62 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

m = 0

f'(x) = -6x - 6

f'(x) = 6x

m = -12

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

sinx

-sinx

-cscx cotx

sec²x

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

cscx cotx

secx tanx

sec²x

-cscx cotx

Tags

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

secx tanx

-secx tanx

tan²x

cscx cotx

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the given equation
f(x) = 7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

find y'

y = 2 x^-1

y=2 x^-2

y= −2x^-2

y= −2 x^-1

Tags

CCSS.HSA.CED.A.4

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

61 questions

8-4 Right Triangle Trigonometry Part 1

Quiz

•

9th - 12th Grade

60 questions

Statistika 1

Quiz

•

9th - 12th Grade

60 questions

اختبار من (350 - 400) نموذج (85) ا/وليد الجنزوري0508249931

Quiz

•

1st - 12th Grade

57 questions

Algebra EOC Study Guide

Quiz

•

9th - 12th Grade

58 questions

Quizziz M73A Lvl 01 Simplify & Combine: Like Terms

Quiz

•

7th Grade - University

60 questions

MQQ2 Review

Quiz

•

8th Grade - University

60 questions

6th Grade Strategies and Vocab Prep

Quiz

•

6th Grade - University

66 questions

toán số

Quiz

•

9th - 12th Grade

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

29 questions

Alg. 1 Section 5.1 Coordinate Plane

Quiz

•

9th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

11 questions

FOREST Effective communication

Lesson

•

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

23 questions

CCG - CH8 Polygon angles and area Review

Quiz

•

9th - 12th Grade

16 questions

Properties of Quadrilaterals

Quiz

•

11th Grade

20 questions

Domain and Range Spiral Review

Quiz

•

9th - 12th Grade

10 questions

Dividing a polynomial by a monomial

Quiz

•

10th - 12th Grade

16 questions

Explore Triangle Congruence Theorems

Quiz

•

9th - 12th Grade

17 questions

Interpreting Graphs Of Functions

Quiz

•

8th - 12th Grade

Quiz on Derivatives

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

Find the derivative of the given equation
f(x) = 7

find y'

Which of the following are synonyms for find the derivative?

Which of the following are synonyms for find the derivative?

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Quiz on Derivatives

Find the slope of the tangent line to f(x) = -3x2-6x at x = 1.

Find the derivative of the given equationf(x) = 7

find y'

Which of the following are synonyms for find the derivative?

Which of the following are synonyms for find the derivative?

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

Find the derivative of the given equation
f(x) = 7