Not Differentiable

Definition

A function is not differentiable at a certain point if it does not have a derivative at that specific point. This means that the slope of the tangent line cannot be determined at that particular point.

Related terms

Discontinuity:

A discontinuous function has one or more breaks or jumps in its graph. It may have holes, vertical asymptotes, or removable discontinuities.

Tangent Line:

The tangent line to a curve at a certain point is the line that best approximates the behavior of the curve near that point. It shares both location and slope with the curve at that specific point.

Critical Point:

A critical point of a function occurs where its derivative equals zero or is undefined. It plays an important role in determining the behavior of the function.