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Key Terms
Derivative (f'(x))
The _instantaneous_ _rate_ of change of a function f(x) with respect to x.
Units of the Derivative
Always the units of the _dependent_ variable divided by the units of the _independent_ variable.
Velocity
The _rate_ of change of _position_ with respect to time, including direction.
Speed
The _absolute_ _value_ of velocity, representing how fast an object is moving regardless of direction.
Related Rates
Problems where multiple quantities are changing over _time_, and their rates of change are _connected_ through an equation.
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