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Derivatives - Product and Quotient Rule

Authored by Chuck Rathfelder

Mathematics

11th - 12th Grade

CCSS covered

Used 73+ times

Derivatives - Product and Quotient Rule
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41 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What rule should be used in deriving f(x) = x5

Constant rule

Sum rule

Power rule

Difference rule

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What rule should be used in deriving h(x) = 2(x - 4)3

Power rule

Product rule

Quotient rule

Chain rule

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the derivative of f(x) = 2x3 - 4x + 5?

f'(x) = 6x2 - 4x

f'(x) = 2/3x2 - 4x

f'(x) = 3x2 - 4

f'(x) = 6x2 - 4

Tags

CCSS.HSF.IF.A.2

CCSS.HSA.APR.A.1

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which function has the derivative of g'(x) = 4x3 + 2x - 1

g(x) = 2x4 + 2x2 - 1

g(x) = x4 + x2 - x

g(x) = 2x3 + x3 - 2x

g(x) = x5 + x2 - x

Tags

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Choose the best rule to derive the function.

Product rule

Quotient rule

Power rule

Chain rule

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

At which point(s) will the slopes of the tangent line are zero?

at C only

at points A, C and E only

at point B and D only

at points A and E only

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Let y = (x - 1)(x + 2). Find dy/dx.

2x + 1

2x - 1

4x - 1

2x2 + x - 1

Tags

CCSS.HSA.APR.A.1

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