Mathematics: Applications and Interpretation · Topic 5: Calculus

AHL5.9 — Further differentiation: rules and further functions

Mathematics: Applications and Interpretation · SL / HL · syllabus-mapped notes

1. AIAHL5.9.1

   Derivatives of further functions

   Derivatives of $\sin x$, $\cos x$, $\tan x$, $e^x$, $\ln x$ and $x^n$ for $n\in\mathbb{Q}$.

2. AIAHL5.9.2

   Chain, product and quotient rules

   Differentiating composite functions, products and quotients.

3. AIAHL5.9.3

   Related rates of change

   Linking rates through a chain of derivatives with respect to time.