# Worksheet: Rules of Differentiation

Q1:

Find , given that .

• A
• B
• C
• D

Q2:

Find , given that .

• A
• B
• C
• D
• E

Q3:

Differentiate , where and are two constants.

• A
• B
• C
• D

Q4:

Differentiate , where and are two constants.

• A
• B
• C
• D

Q5:

If , find .

• A
• B
• C
• D

Q6:

Find the first derivative of the function .

• A
• B
• C
• D

Q7:

Find the first derivative of the function .

• A
• B
• C
• D
• E

Q8:

Find the first derivative of the function .

• A
• B
• C
• D

Q9:

Find the first derivative of the function .

• A
• B
• C
• D

Q10:

Evaluate .

• A
• B
• C
• D

Q11:

Differentiate , and identify the value of at which the function is NOT differentiable.

• A , the function is not differentiable at .
• B , the function is not differentiable at .
• C , the function is not differentiable at .
• D , the function is not differentiable at .

Q12:

Find , given that .

• A
• B
• C
• D

Q13:

Find the first derivative of with respect to .

• A
• B
• C
• D
• E

Q14:

Evaluate .

• A
• B
• C
• D

Q15:

Differentiate .

• A
• B
• C
• D

Q16:

If , which of the following is the same as ?

• A
• B
• C
• D

Q17:

Find .

• A
• B
• C
• D

Q18:

Find the first derivative of the function .

• A
• B
• C
• D

Q19:

Find , given that .

• A
• B
• C
• D
• E

Q20:

Differentiate .

• A
• B
• C
• D

Q21:

Find , given that .

• A
• B
• C
• D

Q22:

Differentiate .

• A
• B
• C
• D
• E

Q23:

Find the first derivative of the function .

• A
• B
• C
• D

Q24:

Let . If and , find .

Q25:

Differentiate .

• A
• B
• C
• D
• E