From d5e514340567c712b5fc96f0140dcae1a001aefe Mon Sep 17 00:00:00 2001 From: eggy Date: Wed, 14 Oct 2020 14:57:08 -0400 Subject: [PATCH] math: first principles over small h --- docs/mhf4u7.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/docs/mhf4u7.md b/docs/mhf4u7.md index 350e130..d236b57 100644 --- a/docs/mhf4u7.md +++ b/docs/mhf4u7.md @@ -253,6 +253,9 @@ This is known as the **difference quotient**. The **instantaneous rate of change (IRoC)** at point $P(a, f(a))$ is represented by the slope of the **tangent line ($m_T$)**. The slope of the tangent line can be found by finding the difference quotient with $h$ as a very small value, e.g., $0.001$. +!!! warning + The above method of finding the IRoC should be disregarded in favour of finding the derivative. + ### Sequences A sequence is a **function** with a domain of all positive integers in sequence, but uses subscript notation ($t_n$) instead of function notation ($f(x)$).