Complete Guide to Calculus Notation in LaTeX

Calculus has evolved a rich set of notation over centuries. LaTeX can reproduce it all.

Derivatives

Leibniz: \\frac{dy}{dx}. Lagrange: f'(x), f''(x). Newton: \\dot{x}, \\ddot{x}. Partial: \\frac{\\partial f}{\\partial x}.

Integrals

Single: \\int_a^b f(x)\\,dx. Double: \\iint_D f(x,y)\\,dA. Triple: \\iiint_V f\\,dV. Contour: \\oint_C \\vec{F} \\cdot d\\vec{r}.

Limits and Series

Limit: \\lim_{x \\to 0} \\frac{\\sin x}{x} = 1. Series: \\sum_{n=0}^{\\infty} a_n. Taylor: \\sum_{n=0}^{\\infty} \\frac{f^{(n)}(a)}{n!}(x-a)^n.