Derivatives

Derivatives

11th Grade

9 Qs

quiz-placeholder

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Derivatives

Derivatives

Assessment

Quiz

Mathematics

11th Grade

Medium

CCSS
HSA.APR.A.1, HSF.IF.A.2, HSA.APR.D.7

+2

Standards-aligned

Created by

Paul Koontz

Used 40+ times

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the derivative
f(t) = (t2 + 2t)5

f'(t) = 5(2t+2)4
f'(t) = 5(t2 + 2t)4
 f'(t) = 5(t2 + 2t)4(2t)
f'(t) = 5(t2 + 2t)4(2t + 2)

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Set up the derivative of y=(3x- 7)*(5x+ 1)

(12x3)*(10x)
(3x4 - 7)*(10x) + (12x3)*(5x2 + 1)
(3x4 - 7)*(10x) - (12x3)*(5x2 + 1)
(3x4 - 7)/(10x) + (12x3)/(5x2 + 1)

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

A
B
C
D

Tags

CCSS.HSF.IF.A.2

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the derivative of g(x)=(3x-2)/(x2+2)

9x2+2
3(x2+2)/(x2+2)2
(-3x2+4x +6)/(x2+2)2
(-3x2+10)/(x2+2)2

Tags

CCSS.HSA.APR.D.7

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

d/dx (sin2x) = ?

2sin x
2(sin x)(cos x)
2cos x
2x(cos x)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is f'(x) if f(x) = cos(5x4)?

f'(x) = sin(20x3)
f'(x) = 20x3 sin(5x4)
f'(x) = -sin(20x3)
f'(x) = -20x3 sin(5x4)

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

.

(3x2-2)cos(x3-2x)

-(3x2-2)cos(x3-2x)

cos(2x2-2)

sin(2x2-2)

8.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the second derivative of the function f(x)=2x5x6f\left(x\right)=2x-5x^6  

 230x52-30x^5  

 x257x7x^2-\frac{5}{7}x^7  

 30x5-30x^5  

 150x4-150x^4  

9.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the derivative of
 f(x)=x4sin(x)f\left(x\right)=x^4\sin\left(x\right)  

 x4cos(x)4x3sin(x)x^4\cos\left(x\right)-4x^3\sin\left(x\right)  

 x4cos(x)+4x3sin(x)x^4\cos\left(x\right)+4x^3\sin\left(x\right)  

 4x3cos(x)4x^3\cos\left(x\right)  

 4x3cos(x)-4x^3\cos\left(x\right)