Definition of the Derivative at a Point

Question

Considering the graph above, which of the following statements accurately describes the derivative of a function at a given point?

Accepted Answer

The derivative at a point equals the slope of the tangent line at that point.

Answer

The derivative represents the average rate of change over an interval surrounding that point.

Answer

The derivative necessarily equals the value of the function at that point.

Answer

The derivative is independent of the function's instantaneous behavior.