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education/math/MATH1210 (calc 1)/Derivatives.md
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@ -14,6 +14,11 @@ If we have the coordinate pair $(a, f(a))$, and the value $h$ is the distance be
- The slope of the *tangent line* or the *instantaneous velocity* can be found by taking the limit of the above function as the distance ($h$) approaches zero: - The slope of the *tangent line* or the *instantaneous velocity* can be found by taking the limit of the above function as the distance ($h$) approaches zero:
$$\lim_{h \to 0}\dfrac{f(a + h) - f(a)}{h}$$ $$\lim_{h \to 0}\dfrac{f(a + h) - f(a)}{h}$$
The above formula can be used to find the *derivative*. This may also be referred to as the *instantaneous velocity*, or the *instantaneous rate of change*. The above formula can be used to find the *derivative*. This may also be referred to as the *instantaneous velocity*, or the *instantaneous rate of change*.
# Point Slope Formula (Review)
$$ y - y_1 = m(x-x_1) $$
Given that $m = f'(a)
# Line Types # Line Types
## Secant Line ## Secant Line
A **Secant Line** connects two points on a graph. A **Secant Line** connects two points on a graph.