Formula Cheat Sheet for IB Math HL & SL

Official 100% syllabus-accurate formula sheet for exam revision.

Exponential Derivative (Base a)

d/dx (a^x) = a^x ln a

Integration by Substitution

\int f(g(x))g'(x) dx = \int f(u) du

Logarithm Base Change

log_b a = (ln a) / (ln b)

Expected Value E(X)

E(X) = \sum x \cdot P(X = x)

Variance Var(X)

Var(X) = E(X²) - [E(X)]²

Normal Z-Score

Z = (X - μ) / σ