# Lesson Worksheet: The Chain Rule Mathematics • Higher Education

In this worksheet, we will practice finding the derivatives of composite functions using the chain rule.

Q1:

Find the first derivative of the function .

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Q2:

If , find .

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Q3:

Determine the derivative of .

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Q4:

Find the first derivative of the function .

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Q5:

If , find .

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Q6:

If , find .

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Q7:

Find the derivative of the function .

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Q8:

If , find .

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Q9:

If , find .

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Q10:

If , find .

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Q11:

If , find .

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Q12:

If , find .

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Q13:

If , find .

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Q14:

If , find .

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Q15:

If , find .

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Q16:

If , find .

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Q17:

If , find .

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Q18:

If , find .

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Q19:

If , find .

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Q20:

If , find .

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Q21:

Find the derivative of the function .

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Q22:

Find , given that .

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Q23:

Given that , , and , determine at .

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Q24:

Find at .

Q25:

Evaluate , where .

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