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education/math/MATH1210 (calc 1)/Derivatives.md
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A derivative can be used to describe the rate of change for a single point. A derivative can be used to describe the rate of change at a single point, or the *instantaneous velocity*.
The formula used to calculate the average rate of change looks like this: The formula used to calculate the average rate of change looks like this:
$$ \dfrac{f(b) - f(a)}{b - a} $$ $$ \dfrac{f(b) - f(a)}{b - a} $$
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- Speed is always positive - Speed is always positive
- Velocity is directional - Velocity is directional
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# Line Types
## Secant Line
A **Secant Line** connects two points on a graph.