Basic Maths

Tutorial 7
Questions for in-class tutorial:
Basic Maths:
Find the first derivatives of each of the following functions:

  1. a) y = 5x7 + 6x + 2
  2. b) Q =
  3. c) AC = 5 +
  4. d) z = (5x + 7)-4
  5. e) y = (2x3 + 6) × (3x2 + 7x + 1)

Application Questions:

  1. Find an expression for the MC function given the following average cost functions:
  2. a) AC = 2Q + 5 +
  3. b) AC = 3Q2 – 4Q + 6 +

In each case state the value of fixed cost and variable cost.

  1. 2. If the demand function of a good is

Find the quantity which makes MR = 0.
 Questions for self-study
Find the first derivatives of each of the following:
1.

  1. a) y = 76x8 + 3x5 + 4
  2. b) y =
  3. c) +
  4. d) y = ln(2x2 + 1)
  5. e) y = e3x+1
  6. Determine the first and second derivatives of the following:
  7. a) y =
  8. b) TR = 200Q – 4Q2
  9. c) TC =

 

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