# Worksheet: Combining the Product, Quotient, and Chain Rules

In this worksheet, we will practice finding the first derivative of a function using combinations of the product, quotient, and chain rules.

Q1:

Find the first derivative of the function .

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• D

Q2:

Differentiate .

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Q3:

Find the first derivative of .

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Q4:

Determine the derivative of the function .

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Q5:

Let . If , , and , find .

Q6:

Find at when .

Q7:

Find the first derivative of at .

Q8:

Find the first derivative of the function at .

Q9:

Determine the derivative of .

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Q10:

Find at .

Q11:

Evaluate the first derivative of at .

• A6
• B8
• C0
• D10
• E1

Q12:

Determine the derivative of .

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Q13:

Determine the derivative of .

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Q14:

Find the first derivative of the function at .

• A7
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• D9

Q15:

If , determine .

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Q16:

Find the derivative of the function .

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Q17:

Evaluate at if .

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Q18:

If , find .

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Q19:

Evaluate at if .

Q20:

Find the derivative of the function .

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Q21:

Determine the derivative of the function .

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• E

Q22:

Determine , given that .

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Q23:

Given that , determine .

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Q24:

Find the derivative of the function .

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Q25:

If , find .

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