# Worksheet: Power Rule of Derivatives

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:

Differentiate the function .

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Q2:

Given that and , determine .

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Q3:

Find , given that .

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Q4:

Given that , determine .

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Q5:

Find , given that .

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Q6:

Find , given that .

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Q7:

Determine the first derivative of the function .

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Q8:

Evaluate , where .

Q9:

Differentiate the function .

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Q10:

Given that , determine .

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Q11:

Find if .

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Q12:

Given that , determine .

Q13:

Evaluate .

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Q14:

Find the first derivative of the function .

Q15:

Find the first derivative of the function .

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Q16:

Find the first derivative of the function .

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Q17:

Find , given that .

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Q18:

Evaluate .

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Q19:

Given that , determine if .

Q20:

If the function , find .

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Q21:

Find if .

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Q22:

If , find .

Q23:

If , find .

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Q24:

Find , given that .

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Q25:

Find , given that .

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