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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
  • B1
  • C
  • D

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
  • B
  • C
  • D8

Q19:

If and , find at .

Q20:

If , and , find at .

  • A
  • B1
  • C
  • D

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