# Worksheet: Differentiation of Logarithmic Functions

In this worksheet, we will practice finding the derivatives of logarithmic functions.

Q1:

Find , given that .

• A
• B
• C
• D

Q2:

Determine , given that .

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• B
• C
• D

Q3:

Find , given that .

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• B
• C
• D

Q4:

Find , given that .

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• C
• D

Q5:

Differentiate .

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• D
• E

Q6:

Find , given that .

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• D

Q7:

If , find .

• A
• B1
• C
• D9
• E3

Q8:

Differentiate the function .

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• C
• D
• E

Q9:

Differentiate .

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• C
• D

Q10:

Differentiate .

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• D
• E

Q11:

Differentiate .

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• D
• E

Q12:

Given that , determine .

Q13:

Differentiate the function .

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• B
• C
• D
• E

Q14:

Given that , determine .

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• C
• D

Q15:

Given that , find .

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• D

Q16:

A factoryβs production of units in days is governed by the relation . What is the rate of change of production with respect to time on the fifth day?

• A
• B
• C
• D

Q17:

Determine the first derivative of .

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• C
• D

Q18:

Find the first derivative of the function .

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• C
• D

Q19:

Find the first derivative of the function .

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• C
• D

Q20:

Find , given that .

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• B
• C
• D

Q21:

Differentiate .

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• B
• C
• D
• E

Q22:

Differentiate , and determine its domain.

• A ,
• B ,
• C ,
• D ,
• E ,

Q23:

Differentiate , and determine its domain.

• A ,
• B ,
• C ,
• D ,
• E ,

Q24:

Differentiate , and determine its domain.

• A ,
• B ,
• C ,
• D ,
• E ,

Q25:

Differentiate .

• A
• B
• C
• D
• E