# Worksheet: First-Order Derivatives Using the Chain Rule

Q1:

If and , find .

• A
• B
• C
• D

Q2:

Determine at , given that , and .

• A20
• B
• C
• D

Q3:

Find , given that and .

• A
• B
• C
• D

Q4:

If and , find at .

Q5:

Evaluate at if and .

Q6:

Find , given that and .

• A
• B
• C
• D

Q7:

Evaluate at if and .

• A
• B
• C
• D

Q8:

Given that and , determine at .

• A
• B
• C
• D

Q9:

If and , find when .

• A
• B
• C
• D8

Q10:

Evaluate at if and .

• A
• B
• C4
• D
• E2

Q11:

Find , given that and .

• A
• B
• C
• D

Q12:

Given that and , determine .

• A
• B
• C
• D

Q13:

Determine when if and .

• A
• B
• C
• D

Q14:

Evaluate at if and .

• A
• B1
• C
• D

Q15:

Evaluate at if and .

• A
• B
• C
• D

Q16:

Given that and , find at .

Q17:

Evaluate at if and .

• A
• B
• C
• D

Q18:

Evaluate at if and .

• A
• B
• C
• D

Q19:

Find at , given and .

• A
• B
• C
• D

Q20:

Given that and , determine .

• A
• B
• C
• D

Q21:

Evaluate at if .

• A
• B
• C
• D

Q22:

Given that and , determine at .

• A
• B
• C
• D

Q23:

Evaluate at if and .

• A
• B
• C
• D

Q24:

Given that and , determine when .

• A6
• B
• C0
• D
• E

Q25:

Given that and , find .

• A
• B
• C
• D
• E