# Relationship between continuity and partial differentiability of a function

### The multidimensional differentiability theorem - Math Insight

That's all we were missing in these non-differentiable functions with partial derivatives: the partial derivatives weren't continuous. If we can show the partial. Continuity(The definition is really the same.) If f is continuous at (x0,y0) and g ( a function of a single variable) ”partial derivative of f with respect to x”. In calculus (a branch of mathematics), a differentiable function of one real variable is a function More generally, if x0 is a point in the domain of a function f, then f is said to be differentiable at x0 if the derivative f ′(x0) exists. . In particular, any differentiable function must be continuous at every point in its domain.

Немец рывком открыл дверь и собрался было закричать, но Беккер его опередил. Помахав карточкой теннисного клуба Мериленда, он рявкнул: - Полиция.

### Continuous partials implies differentiable - Calculus

После чего вошел в номер и включил свет. Немец не ожидал такого оборота.

• Continuous partials implies differentiable

- Wasmachst… - Помолчите! - Беккер перешел на английский.