# Worksheet: Differentiation and Logarithmic Functions

Q1:

Differentiate .

• A
• B
• C
• D
• E

Q2:

Determine the equation of the tangent to the curve at .

• A
• B
• C
• D

Q3:

Use logarithmic differentiation to determine the derivative of the function .

• A
• B
• C
• D
• E

Q4:

Find , given that .

• A
• B
• C
• D
• E

Q5:

Use logarithmic differentiation to find the derivative of , given that .

• A
• B
• C
• D
• E

Q6:

Use logarithmic differentiation to find the derivative of the function .

• A
• B
• C
• D
• E

Q7:

Determine the equation of the tangent to the curve at = .

• A
• B
• C
• D

Q8:

If , find the value of at which the tangent to the curve is parallel to the -axis.

Q9:

Find , given that .

• A
• B
• C
• D

Q10:

Differentiate the function .

• A
• B
• C
• D
• E

Q11:

Find , given that .

• A
• B
• C
• D

Q12:

Use logarithmic differentiation to find the derivative of the function .

• A
• B
• C
• D
• E

Q13:

Use logarithmic differentiation to find the derivative of the function .

• A
• B
• C
• D
• E

Q14:

Let and , respectively, be the - and -intercepts of the tangent line to at . What is the length of the segment ?

• A length units
• B length units
• C length units
• D length units

Q15:

Find , given that .

• A