© 2009  Rasmus ehf  & Jóhann Ísak Pétursson

Derivatives test 2

Instructions to students.

Read each question carefully and put a check mark by the answer you think is correct. Note that there is only one correct answer to each question. When you have answered all the questions push the send button.

Solve the following problems

1.       Find the derivative of f(x) = x2 + 2x.

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Possible answers:

A

2x

B

 2x + 1

C

 2x + 2

D

2x + 3

2.       Find the equation of the tangent to the graph of f(x) = x2 + 2x in the point (0, 0).

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Possible answers:

A

 2x

B

 2x + 1

C

 2x + 2

D

2x + 3

3.      Find the limit if f(x) = x2 + x + 2.

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Possible answers:

A

 2x

B

 2x + 1

C

 2x + 2

D

 2x + 3

 

4.        Find the limit  if f(x) = x2 + x + 2.

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Possible answers:

A

 0

B

 1

C

 2

D

 3

5.      Find the equation of the tangent to the graph of f(x) = x2 + x + 2 when x = 1.

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Possible answers:

A

 y = 3x

B

 y = 3x + 1

C

 y = 3x + 2

D

 y = 3x + 3

6.      Find the derivative of .    

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Possible answers:

A

 f´(x) = x2 + 1

B

 f´(x) = x2

C

 f´(x) = x2 – 1

D

 f´(x) = x2 + 3

7.     Find the equation of the tangent to the graph of 
         when x = 1.  

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Possible answers:

A

y = 2x - 2

B

 y = 1

C

 y = x

D

 y = x + 1

8.         Differentiate f(x) = x8 – 4x4 + 5x2 + 4.

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Possible answers:

A

 f´(x) = x7 – 4x3 + 5x2

B

 f´(x) = 8x7 – 4x3 + 2x

C

 f´(x) = 8x7 – 16x3 + 10x

D
f´(x) = 8x7 – 16x3 + 10x + 4

9.        Find the equation of the tangent to the graph of  f(x) = x8 – 4x4 + 5x2 + 4 when x = 1.

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Possible answers:

A

 y = 2x + 1

B

 y = 2x + 2

C

 y = 2x + 3

D

 y = 2x + 4

10.      Find the derivative of  where a is a constant

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Possible answers:

A

 f´(x) = 0

B

 f´(x) = x

C

 f´(x) = xa

D

 f´(x) = xa+1

 

Proportion of correct answers =

Correct answers: Your answers: