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Worksheet: Differentiation and Logarithmic Functions

Q1:

Differentiate .

  • A
  • B
  • C
  • D
  • E

Q2:

Determine the equation of the tangent to the curve at .

  • A
  • B
  • C
  • D

Q3:

Use logarithmic differentiation to determine the derivative of the function .

  • A
  • B
  • C
  • D
  • E

Q4:

Find , given that .

  • A
  • B
  • C
  • D
  • E

Q5:

Use logarithmic differentiation to find the derivative of , given that .

  • A
  • B
  • C
  • D
  • E

Q6:

Use logarithmic differentiation to find the derivative of the function .

  • A
  • B
  • C
  • D
  • E

Q7:

Determine the equation of the tangent to the curve at = .

  • A
  • B
  • C
  • D

Q8:

If , find the value of at which the tangent to the curve is parallel to the -axis.

Q9:

Find , given that .

  • A
  • B
  • C
  • D

Q10:

Differentiate the function .

  • A
  • B
  • C
  • D
  • E

Q11:

Find , given that .

  • A
  • B
  • C
  • D

Q12:

Use logarithmic differentiation to find the derivative of the function .

  • A
  • B
  • C
  • D
  • E

Q13:

Use logarithmic differentiation to find the derivative of the function .

  • A
  • B
  • C
  • D
  • E

Q14:

Let and , respectively, be the - and -intercepts of the tangent line to at . What is the length of the segment ?

  • A length units
  • B length units
  • C length units
  • D length units

Q15:

Find , given that .

  • A
  • B