# Lesson Worksheet: Power Rule of Derivatives Mathematics • Higher Education

In this worksheet, we will practice using the power rule of derivatives and the derivative of a sum of functions to find the derivatives of polynomials and general power functions.

Q1:

Find the derivative of .

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• D1
• E0

Q2:

Find the derivative of .

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• E

Q3:

Find , given that .

Q4:

Find the derivative of by first principles.

Find the derivative of by first principles.

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• B2
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• E

Find the derivative of by first principles.

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• E

By considering the pattern, what is the derivative of ?

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Q5:

Find if .

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Q6:

Find , given that .

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Q7:

Find , given that .

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Q8:

Given that , determine .

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Q9:

Given that , find .

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Q10:

Given that , determine if .

This lesson includes 68 additional questions and 513 additional question variations for subscribers.

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