Definition of the Derivative at a Point
Considering the graph above, which of the following statements accurately describes the derivative of a function at a given point?
A
The derivative necessarily equals the value of the function at that point.
B
The derivative at a point equals the slope of the tangent line at that point.
C
The derivative represents the average rate of change over an interval surrounding that point.
D
The derivative is independent of the function’s instantaneous behavior.
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