Differentiation I - Normal

Question 1: Differentiate

y

with respect to

x :

y = x^{2} - 5 x

A

\frac{d y}{d x} = x^{2} - 5

B

\frac{d y}{d x} = 2 x - 5

C

\frac{d y}{d x} = 2 x

D

\frac{d y}{d x} = - 5

Question 2: Differentiate

y

with respect to

x :

y = \ln (x)

A

\frac{d y}{d x} = \frac{1}{x}

B

\frac{d y}{d x} = \frac{1}{x^{2}}

C

\frac{d y}{d x} = \ln (\frac{1}{x})

D

\frac{d y}{d x} = \frac{1}{x^{2} + 1}

Question 3: The function f is defined by:

f (x) = 5

. Find

f' (x)

A

f' (x) = 1

B

f' (x) = 0

C

f' (x) = x

D

f' (x) = 5

Question 4: Differentiate

y

with respect to

x :

y = \tan (5 x)

A

\frac{d x}{d y} = \frac{5}{\cos^{2} (5 x)}

B

\frac{d x}{d y} = \frac{5}{\cos^{2} (x)}

C

\frac{d x}{d y} = \frac{1}{\cos^{2} (5 x)}

D

\frac{d x}{d y} = \frac{1}{\cos^{2} (x)}

Question 5: Find the gradient of the function

y = x^{3}

at the point

x_{0} = 2

A

k = 4

B

k = 0.5

C

k = 12

D

k = 8

Test: Differentiation I - Normal