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AP Calculus AB/BC
The slope dy/dx represents the rate at which y changes with respect to x for every infinitesimally small change in x. It measures how steeply or flatly a curve rises or falls at any given point.
The derivative measures how much one quantity changes with respect to another and is used to calculate slopes, rates of change, and more in calculus.
The tangent line is a line that touches a curve at a specific point and has the same slope as the curve at that point.
Differentiation refers to the process of finding derivatives, which involves calculating rates of change, slopes, or instantaneous velocities.