## FANDOM

1,025 Pages

A function is differentiable if it has a defined derivative for every input, or

$\lim_{h\to0}\frac{f(x+h)-f(x)}{h}=a$

for every x. A function will be differentiable iff it follows the Weierstrass-Carathéodory criterion for differentiation.

Differentiability is a stronger condition than continuity; and differentiable function will also be continuous.