Maths with David

    9709. P1. Differentiation Theory. Past Exam Questions

    1. November 2025 (9709/12). Question 4.
      • The equation of a curve is such that \frac{dy}{dx} = kx^3 + \frac{2}{x^2} , where k is a constant. The curve passes through the point S (2,20) and the gradient of the curve at S is \frac{65}{2}
      • (a) Find the value of k. [1 mark]
      • (b) The coordinates of a point T on the curve (1,t). Find the value of t. [5 marks]