From 16b30089606f36bd91b70f79a2cf29dd62d95361 Mon Sep 17 00:00:00 2001 From: eggy Date: Wed, 30 Sep 2020 10:25:49 -0400 Subject: [PATCH] math: add rate of change --- docs/mhf4u7.md | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/docs/mhf4u7.md b/docs/mhf4u7.md index c37c49d..3c7b017 100644 --- a/docs/mhf4u7.md +++ b/docs/mhf4u7.md @@ -242,6 +242,15 @@ The **Pearson product-moment correlation coefficient** (more commonly known as * - $0.3≤|r|<0.7$ is a weak to moderate correlation - $0≤|r|<0.3$ is no correlation, so that no line of best fit can be drawn. +## 5 - Calculus + +### Rate of change + +The **average rate of change (ARoC)** between points $P(a, f(a))$ and $Q(a + h, f(a+h))$ is represented by the slope of the **secant line ($m_s$)**. Therefore, as slope is the difference in rise over the difference of run ($\frac{\Delta y}{\Delta x}$), the slope of the secant line can be expressed as +$$m_s = \frac{f(a+h)-f(a)}{h}, h ≠ 0$$ + +This is known as the **difference quotient**. + ## Resources - [IB Math Analysis and Approaches Syllabus](/resources/g11/ib-math-syllabus.pdf)