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Derivatives

Implicit

Explicit

Differentiability

Not Differentiable

Differentiable

Continuous

Drawing Tangents

Limits

Graphically

Algebraically

Subtopic

Continuity

3 Types of Discontinuities

Step

Hole

Jump

Non-removable discontinuity @ x = c, where NLE or point.

Removable discontinuity @ x = c, there is a limit, but no point

Continuity: there are no interruptions in the function (no holes, steps, or jumps).