# Worksheet: First Order Derivatives Using the Chain Rule

Q1:

Evaluate at if and .

Q2:

Find , given that and .

• A
• B
• C
• D

Q3:

Determine when if and .

• A
• B
• C
• D

Q4:

If and , find .

• A
• B
• C
• D

Q5:

Find when , given that and .

Q6:

Given that and , determine .

• A
• B
• C
• D

Q7:

If and , find .

• A
• B
• C
• D
• E

Q8:

Evaluate at if .

• A
• B
• C
• D

Q9:

Evaluate at if and .

• A
• B
• C
• D

Q10:

Find , given that and .

• A
• B
• C
• D

Q11:

Evaluate at if and .

• A
• B
• C
• D

Q12:

Evaluate at if and .

• A
• B
• C
• D

Q13:

Evaluate at if and .

• A
• B
• C
• D1

Q14:

Evaluate at if and .

• A
• B
• C
• D

Q15:

Evaluate at if and .

• A
• B
• C
• D

Q16:

Given that and , determine .

• A
• B
• C
• D

Q17:

Given that and , find at .

Q18:

If and , find when .

• A
• B8
• C
• D

Q19:

If and , find at .

Q20:

If , and , find at .

• A
• B
• C
• D1

Q21:

Given that and , determine at .

• A
• B
• C
• D

Q22:

Find at , given and .

• A
• B
• C
• D

Q23:

Find , given that and .

• A
• B
• C
• D

Q24:

Given that and , determine .

• A
• B
• C
• D