Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The diagram depicts the curve given by $y = \frac{4e^{2x} + 9}{e^x + 2}$. This curve has a minimum point $M$ and intersects the $y$-axis at $P$.

(a)[4]

Find the exact gradient of the curve at $P$.

(b)[4]

Find the exact coordinates of $M$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate by using the quotient rule” …