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Derivative at a Point (formal definition)

A video reviewing the formal definition for the derivative at a point, followed by examples of solving these types of problems and a simple way to visually confirm answers. Derivative at a Point (formal definition) Definition A derivative at a point indicates the instantaneous rate of change and slope of the tangent line at a specific point on the curve of the function The definition of the derivative f at the point x=a is Definition An alternative version of this definition also exists Provided the limit exists, the derivative of the function f at the point is the limit Example Find for the function Example Differentiate the following function at the given point: