# Worksheet: Logarithmic Differentiation

In this worksheet, we will practice finding the derivatives of positive functions by taking the natural logarithm of both sides before differentiating.

Q1:

Using logarithmic differentiation, determine the derivative of .

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Q2:

Use logarithmic differentiation to find the derivative of the function .

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Q3:

Use logarithmic differentiation to find the derivative of the function .

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Q4:

Use logarithmic differentiation to find the derivative of the function .

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Q5:

Use logarithmic differentiation to find the derivative of the function .

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Q6:

If , determine .

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Q7:

Determine , given that .

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Q8:

Find if .

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Q9:

Determine , given that .

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Q10:

Determine , if .

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Q11:

Determine for the function .

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Q12:

Find , given that .

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Q13:

Find if .

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Q14:

Given that , find .

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Q15:

Given that , determine .

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Q16:

Given that , find .

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Q17:

Given , find .

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Q18:

If , determine .

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