Elementary Differential Topology
The notation f'(x) represents the derivative of a function f at the point x, indicating the rate at which the function's value changes with respect to changes in x. This concept is crucial for understanding how functions behave locally, especially in identifying critical points where the function may have maxima, minima, or points of inflection. The derivative provides essential information about the slope of the tangent line to the function's graph at any given point.
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