# Worksheet: Higher-Order Implicit Differentiation

Q1:

Given that , determine by implicit differentiation.

• A
• B
• C
• D
• E

Q2:

Given that , find .

• A
• B2
• C
• D

Q3:

Given that , find .

• A
• B2
• C14
• D

Q4:

Find by implicit differentiation if .

• A
• B
• C
• D
• E

Q5:

Given that , determine by implicit differentiation.

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• B
• C
• D
• E

Q6:

Given that , determine by implicit differentiation.

• A
• B
• C
• D
• E

Q7:

If , determine by implicit differentiation.

• A
• B
• C
• D
• E

Q8:

Given that , find .

• A
• B16
• C
• D

Q9:

If , find the value of at .

Q10:

Given that , find by implicit differentiation.

• A
• B
• C
• D
• E

Q11:

Find , given that .

• A
• B
• C
• D

Q12:

Let , where , , and are constants. Find .

Q13:

Given that , determine by implicit differentiation.

• A
• B
• C
• D
• E

Q14:

Given that , determine .

Q15:

If , find .

• A
• B
• C
• D

Q16:

If , and , then determine .

Q17:

Given that , find when .

• A
• B
• C
• D

Q18:

Given that , find .

• A0
• B
• C
• D

Q19:

Given , find at .

• A
• B
• C0
• D

Q20:

If , find .

• A
• B
• C
• D
• E

Q21:

Suppose that . Find when .

• A
• B
• C
• D
• E

Q22:

Given that , find .

• A
• B
• C
• D

Q23:

Given that , find .

• A
• B
• C
• D

Q24:

Given that , determine at .

• A
• B
• C
• D

Q25:

If , determine .

• A
• B
• C
• D
• E