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Chain Rule Checkpoint

Authored by John Colquitt

Mathematics

11th - 12th Grade

CCSS covered

Used 3+ times

Chain Rule Checkpoint
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

h(x)=f(g(x))

h'(x)=?

1

x

f'(g(x)) x g'(x)

f'(g'(x))

Tags

CCSS.HSF-BF.A.1C

2.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

How many derivatives do you have to know for h',

when h=f(g(x))

(a)  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

y=(x^2+3x)^4

y'=?

3(x^2+3x)^3

4x^2+12x

4(2x+3)^3

4(x^2+3x)^3 x (2x+3)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

y=e^sinx

y'=?

cosx(e^sinx)

e^sinx

cosx

sinx(e^sinx)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

h(x)=(f(x)/g(x))^2

h'(x)=?

2(f'/g')

2(f/g) x ((f'g)-(fg')/g^2)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

y=3(x^4+5x^3+1)^2

6x^4+30x^3+6

3(4x^3+15x^2)^2

6(x^4+5x^3+1) x (x^4+5x^3+1)

6(x^4+5x^3+1) x (4x^3+15x^2)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

h=sinx+e^3

h'(x)=?

-cosx

-cosx+e^3

sinx+3e^3

cosx

Tags

CCSS.HSF-BF.B.4A

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