Product, quotient and chain rulesAQA A-Level Maths: Mind map

Exam questions on Product, quotient and chain rules

1. A curve has equation $y=x^2e^{3x}$.
   Show that the stationary point at $x=0$ is a minimum.2 marks
2. A curve has equation $y=\frac{3x+1}{x^2+1}$.
   Find the $x$-coordinates of the stationary points of the curve, correct to 3 significant figures.2 marks
3. A curve has equation $y=\sqrt{4x^2+9}$.
   Find $\frac{dy}{dx}$, simplifying your answer.3 marks