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3.3 Derivatives of inverse functions

Authored by Kathryn Dempsey

Mathematics

12th Grade

CCSS covered

Used 77+ times

3.3 Derivatives of inverse functions
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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the Derivative at the given value of a

A

B

C

D

Tags

CCSS.HSF-BF.B.4A

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the Derivative at the given value of a

A

B

C

D

Tags

CCSS.HSF-BF.B.4A

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the Derivative at the given value of a

A

B

C

D

Tags

CCSS.HSF-BF.B.4A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the Derivative at the given value of a

A

B

C

D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A
B
C
D

Tags

CCSS.HSF-BF.B.4A

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The function  f(x)=xf\left(x\right)=\sqrt{x}  has an inverse function,  g(x).g\left(x\right).  Which of the following equations is the line tangent to the graph of  gg  at the point  (2, 4)\left(2,\ 4\right)  on  gg  ?

 y=14(x2)+4y=\frac{1}{4}\left(x-2\right)+4  

 y=14(x4)+2y=\frac{1}{4}\left(x-4\right)+2  

 y=4(x2)+4y=4\left(x-2\right)+4  

 y=4(x4)+2y=4\left(x-4\right)+2  

Tags

CCSS.HSF-BF.B.4A

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the slope of the tangent line to the curve

 xy3x3y=6xy^3-x^3y=6  at the point  (1, 2)\left(1,\ 2\right)  .

 25-\frac{2}{5}  

 1411-\frac{14}{11}  

 211-\frac{2}{11}  

 45\frac{4}{5}  

Tags

CCSS.HSA.REI.D.11

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