Differentiable

Definition

A function is differentiable if it has a derivative at every point in its domain. This means that you can find the slope of the tangent line at any point on its graph.

Related terms

Derivative:

The rate at which a function is changing at a particular point. It represents the slope of the tangent line to the graph of the function at that point.

Continuity:

A property of functions where there are no breaks, jumps, or holes in its graph. Differentiability implies continuity, but continuity does not necessarily imply differentiability.

Critical Point:

A point on a function where its derivative is either zero or undefined. These points can be local maxima, local minima, or points of inflection.