Mathematics: Analysis and Approaches · Topic 5: Calculus

AHL5.15 — Derivatives and integrals of further functions

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. Derivatives of further functions

   Derivatives of tan, sec, cosec, cot, exponentials, logs and inverse trig.

2. Indefinite integrals of these functions

   Reversing the standard derivatives, including composites with a linear function.

3. Partial fractions to rearrange the integrand

   Splitting a rational integrand into partial fractions before integrating.