Differential Calculus
Slope is a measure of the steepness or inclination of a line, calculated as the ratio of the vertical change to the horizontal change between two points on that line. It plays a critical role in understanding how functions behave, particularly in relation to their graphs and tangent lines, as it indicates how quickly one variable changes in relation to another. This concept helps to analyze the rate of change for linear functions and the instantaneous rate of change for nonlinear functions.
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