Differentiation III - Normal

Question 1: Find a derivative of the function

y = x^{5} + x^{2}

A

y' = x^{4} + 2 x

B

y' = 5 x^{4} + 2 x

C

y' = 4 x^{4} + 2 x

D

y' = 2 x

Question 2: Find a derivative of the function

y = e^{2 x}

A

y' = e^{2 x}

B

y' = 2 e^{2 x}

C

y' = e^{x}

D

y' = 2 e^{x}

Question 3: Find a derivative of the function

y = 20

A

y' = 0

B

y' = x

C

y' = 1

D

y' = 20

Question 4: Find a derivative of the function

y = 5 x^{3}

A

y' = 15 x^{2}

B

y' = 3 x^{2}

C

y' = 15 x^{3}

D

y' = 5 x^{2}

Question 5: Find the gradient of the function

y = x^{5} + 20

at the point

x_{0} = 2

A

k = 52

B

k = 1

C

k = 80

D

k = 60

Question 6: Find the gradient of the function

y = \cos (2 x)

at the point

x_{0} = \frac{π}{4}

A

k = - 2

B

k = 1

C

k = 0

D

k = 2

Question 7: Find the gradient of the function

y = x^{3} - 5 x

at the point

x_{0} = 1

A

k = - 2

B

k = 0

C

k = 1

D

k = - 1

Question 8: Find the gradient of the function

y = 8 x

at the point

x_{0} = 3

A

k = 24

B

k = 0

C

k = 8

D

k = 3

Question 9: The function s is defined by:

s (t) = 3 t + 2

, find

s' (t)

A

v = 1

B

v = 3

C

v = 4

D

v = 5

Question 10: The function s is defined by:

s (t) = 20 t + 15

, find

s' (t)

A

v = 35

B

v = 15

C

v = 20

D

v = 5

Test: Differentiation III - Normal

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