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Product and Quotient Differentiation

Mathematics

11th Grade - University

CCSS covered

Used 6+ times

Product and Quotient Differentiation
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28 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 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.HSA.APR.A.1

CCSS.HSF.IF.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 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

3.

MULTIPLE CHOICE QUESTION

30 sec • 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

4.

MULTIPLE CHOICE QUESTION

2 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

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Let f(x) = (x - 1)(x + 2). Find f'(0)

0

1

2

3

Tags

CCSS.HSF.IF.A.2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

At what point will the slope of y = -x2 + 4 is zero?

(0, 4)

(1, 4)

(4, 0)

(1, 0)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What is the equation of the line tangent to the curve y = x2 at x = 1?

y = 2x + 1

y = 2x - 1

y = -2x + 1

y = x - 1

Tags

CCSS.HSA.REI.C.7

CCSS.HSG.GPE.B.5

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