Differentiation EF

Differentiation EF

11th Grade

11 Qs

quiz-placeholder

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Differentiation EF

Differentiation EF

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Medium

Created by

Jose Espanol

Used 4+ times

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11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a correct differentiation rule?

Dx [c] = 0

Dx [xn] = nxn-1

Dx [c f(x)] = c f'(x)

Dx [f(x) + g(x)] = f'(x) + g'(x)

Dx [f(x)/g(x)] = f'(x)/g'(x)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If f(x) = ex - cos x, what is f'(x)?

ex - sin x

ex + sin x

sin x - ex

  • - sin x - ex

ex sin x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the following derivative: Dx [tan x2]

sec2 x2

sec2 2x

tan 2x

2x sec2 x2

2x sec2 2x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the tangent line to the graph of y + sin y = x at the point (0, 0)?

1/2

-1/2

0

1

-1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If f(x) = 3x4 + 5x3, what is f'''(0)?

72

102

30

24

54

6.

FILL IN THE BLANK QUESTION

1 min • 2 pts

What is the equation of the normal line to the graph of f(x) = x2 - x + 1 at its y-intercept?

7.

FILL IN THE BLANK QUESTION

1 min • 2 pts

At what point on the curve y = ex + x does the tangent line have a slope of 2?

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