A-Level Maths Edexcel (9MA0)

Differentiate $x^n$, for rational values of $n$, and related constant multiples, sums and differences.

For example, the ability to differentiate expressions such as
$(2x + 5)(x - 1)$ and $\dfrac{x^2+3x-5}{4x^{\frac{1}{2}}}$, $x > 0$, is expected.

Differentiate $e^{kx}$ and $a^{kx}$, $\sin{kx}$, $\cos{kx}$, $\tan{kx}$ and related sums, differences and constant multiples.

Knowledge and use of the result $\dfrac{d}{dx} (a^{kx}) = ka^{kx}\ln{a}$ is expected.