Mathematics 7356: Differentiation Topical Past Paper Questions

A singer has a social media account with a number of followers. The singer releases a new song and the number of followers grows exponentially. The number of followers, $F$, may be modelled by the formula $$ \mathbf{F}=a\mathbf{e}k t $$ where t is the number of days since the son…

A piece of wire of length 66 cm is bent to form the five sides of a pentagon. The pentagon consists of three sides of a rectangle and two sides of an equilateral triangle. The sides of the rectangle measure x cm and y cm and the sides of the triangle measure x cm, as shown in the…

A curve has equation $ y = k\sqrt{x} $ where k is a constant. Find $ \frac{d^2y}{dx^2} $ at the point (4, 2k) on the curve, giving your answer as an expression in terms of k. [5 marks]