Differentiation II - Normal

Question 1: Find a derivative of the function

y = x^{2} + 7 x - 1

A

y' = 7

B

y' = 2 x + 7

C

y' = x^{2} + 7 x - 1

D

y' = 2 x

Question 2: Find a derivative of the function

y = 2^{x}

A

y' = \ln (2^{x})

B

y' = x \ln (2)

C

y' = 2^{x}

D

y' = 2^{x} \ln (2)

Question 3: Find a derivative of the function

y = 7

A

y' = x

B

y' = 0

C

y' = 7

D

y' = 1

Question 4: Find a derivative of the function

y = e^{7 x}

A

y' = 7 e^{x}

B

y' = 7 x

C

y' = e^{7 x}

D

y' = 7 e^{7 x}

Question 5: Find the gradient of the function

y = x^{2}

at the point

x_{0} = - 1

A

k = 2

B

k = 1

C

k = - 1

D

k = - 2

Question 6: Find the gradient of the function

y = 2 \cos (x)

at the point

x_{0} = \frac{π}{2}

A

k = 0

B

k = - 2

C

k = 2

D

k = 1

Question 7: Find the gradient of the function

y = x^{3} + 2 x

at the point

x_{0} = 0

A

k = 1

B

k = - 1

C

k = 0

D

k = 2

Question 8: Find the gradient of the function

y = 5 x

at the point

x_{0} = 15

A

k = 75

B

k = 5

C

k = 0

D

k = 15

Question 9: The function s is defined by:

s (t) = 7 t + 3

, find

s' (t)

A

v = 5

B

v = 6

C

v = 7

D

v = 3

Question 10: The function s is defined by:

s (t) = 2 t

, find

s' (t)

A

v = 6

B

v = 0

C

v = 2

D

v = 9

Test: Differentiation II - Normal

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