Differentiable

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.