# Worksheet: Derivatives of Logarithmic Functions

Q1:

Find , given that .

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• D

Q2:

Find , given that .

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• D

Q3:

Find , given that .

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• D

Q4:

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

Q5:

Differentiate .

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• D
• E

Q6:

Differentiate .

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• E

Q7:

Find , given that .

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• E

Q8:

Determine the equation of the tangent to the curve at .

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• D

Q9:

Determine the equation of the tangent to the curve at .

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• D

Q10:

Use logarithmic differentiation to find the derivative of the function .

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• D
• E

Q11:

Use logarithmic differentiation to find the derivative of the function .

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• D
• E

Q12:

Differentiate the function .

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• E

Q13:

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

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• C
• D

Q14:

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

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• B
• C
• D

Q15:

Use logarithmic differentiation to find the derivative of the function .

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• B
• C
• D
• E

Q16:

Use logarithmic differentiation to find the derivative of the function .

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• B
• C
• D
• E

Q17:

Use logarithmic differentiation to determine the derivative of the function .

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• B
• C
• D
• E

Q18:

Use logarithmic differentiation to determine the derivative of the function .

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• B
• C
• D
• E

Q19:

Use logarithmic differentiation to find the derivative of the function .

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• B
• C
• D
• E

Q20:

Use logarithmic differentiation to find the derivative of the function .

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• B
• C
• D
• E

Q21:

Find , given that .

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• D

Q22:

Find , given that .

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• D

Q23:

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

Q24:

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

Q25:

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

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• D
• E