From eab72549fd6a8d73bdab7af9707f59580bf8a424 Mon Sep 17 00:00:00 2001 From: eggy Date: Tue, 3 Nov 2020 10:44:51 -0500 Subject: [PATCH] math: lazy related rates --- docs/mhf4u7.md | 10 ++++++++++ 1 file changed, 10 insertions(+) diff --git a/docs/mhf4u7.md b/docs/mhf4u7.md index fc95224..af56267 100644 --- a/docs/mhf4u7.md +++ b/docs/mhf4u7.md @@ -535,6 +535,16 @@ Implicit differentiation differentiates both sides of an equation with respect t \frac{dy}{dx} = -\frac{x}{4y} $$ +### Related rates + +When solving for questions that ask for rate of change related to other rates of change, ensure that: + + - variables are defined + - equations are written in terms of derivates + - the equations are differentiated **with respect to time** + - apply derivative rules (especially the chain rule) to every variable that is not time + - substitute values only at the end + ## Resources - [IB Math Analysis and Approaches Syllabus](/resources/g11/ib-math-syllabus.pdf)