1. 8.1
    Determine f`(x) from first principles if f(x) = 3x2
    (5)
    1. 8.2
      John determines g`(a), the derivative of a certain function g at x = a, and arrives at the answer: limh →0
      4 +h - 2
      h

      Write down the equation of g and the value of a.
      (2)
      1. 8.3
        Determine
        dy
        dx
        if y = √x3 -
        5
        x3
        (4)
        1. 8.4
          g(x) = -8x + 20 is a tangent to f(x) = x3 + ax2 + bx + 18 at x = 1. Calculate the values of a and b.
          (5)
          (16)
          [{"prnt":"8","num":"8.1","answer":""},{"prnt":"8","num":"8.2","answer":""},{"prnt":"8","num":"8.3","answer":""},{"prnt":"8","num":"8.4","answer":""}]

          Answers

            1. 8.1
            2. 8.2
            3. 8.3
            4. 8.4
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