Differentiability

Definition

Differentiability refers to the property of a function where it has a derivative at every point in its domain. In other words, the function is smooth and has a well-defined slope at each point.

Related terms

Continuity:

Continuity means that a function is unbroken and has no gaps or jumps. It implies that the function can be drawn without lifting your pen from the paper.

Derivatives:

Derivatives are measures of how fast a function is changing at any given point. They represent the slope of the tangent line to the graph of a function at that point.

Limits:

Limits describe what happens to a function as it approaches a certain value or goes towards infinity. They help determine continuity and differentiability by examining behavior around specific points.