Product, quotient and chain rulesEdexcel International A Level Maths: Mind map

Exam questions on Product, quotient and chain rules

1. The curve $C_1$ has equation $y=x^{3}e^{2x}$.
   Find the exact gradient of $C_1$ at $x=1$.2 marks
2. The curve $C_2$ has equation $y=\dfrac{e^{3x}}{x}$ for $x>0$.
   Find the exact $y$-coordinate of the stationary point of $C_2$.2 marks
3. Two curves have equations $C_3:\ y=\cos\left(x^{2}\right)$ and $C_4:\ y=\tan^{2}2x$, where $x$ is in radians.
   Find $\dfrac{dy}{dx}$ on $C_3$.3 marks