Rates of change refer to how a quantity is changing over time or with respect to another variable. It measures the speed at which something is changing.
1st Derivative: The first derivative represents the instantaneous rate of change of a function at any given point.
2nd Derivative: The second derivative represents the rate at which the rate of change itself is changing.
Slope: Slope refers to the steepness or incline of a line and can be thought of as a rate of change between two points on that line.
AP Calculus AB/BC - 4.2 Straight-Line Motion: Connecting Position, Velocity, and Acceleration
AP Calculus AB/BC - 4.3 Rates of Change in Applied Contexts other than Motion
AP Calculus AB/BC - 2024 AP Calculus BC Exam Guide
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