LaTeX Formula Examples
A gallery of common LaTeX formulas — from the quadratic formula to Euler's identity. Open any one in the editor to render it live, tweak the source, and export to PNG, SVG, or PDF.
- Algebra
Quadratic Formula
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} - Geometry
Pythagorean Theorem
a^2 + b^2 = c^2 - Analysis
Euler's Identity
e^{i\pi} + 1 = 0 - Calculus
Definition of the Derivative
f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} - Calculus
Gaussian Integral
\int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi} - Series
Basel Problem
\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6} - Statistics
Standard Deviation
\sigma = \sqrt{\frac{1}{N}\sum_{i=1}^{N} (x_i - \mu)^2} - Combinatorics
Binomial Coefficient
\binom{n}{k} = \frac{n!}{k!\,(n-k)!}