Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve $y = x^2 - 4x + 3$ is touched by the line $y = mx - 6$ at a tangent.
(main)[6]

Determine the possible values of the constant $m$, together with the coordinates of the points where the line is tangent to the curve.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Sets the curve equal to the line and simplifies to a quadratic in $x$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI