From 6d0262c89fee04495ab37785f22f58609bf192c6 Mon Sep 17 00:00:00 2001 From: Andrew Lorimer Date: Mon, 20 Aug 2018 12:46:16 +1000 Subject: [PATCH] linear gradients ez --- methods/calculus.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/methods/calculus.md b/methods/calculus.md index 589bf2f..8cb3521 100644 --- a/methods/calculus.md +++ b/methods/calculus.md @@ -18,8 +18,12 @@ ## Average rate of change +$$m \operatorname{of} x \in [a,b] = {{f(b)-f(a)}\over {b - a}} = {dy \over dx}$$ + Average rate of change between $x=[a,b]$ given two points $P(a, f(a))$ and $Q(b, f(b))$ is the gradient $m$ of line $\overleftrightarrow{PQ}$ +On CAS: (Action|Interactive) -> Calculation -> Diff -> $f(x)$ or $y=\dots$ + ## Instantaneous rate of change Tangent to a curve at a point - has same slope as graph at this point. Values for $\Delta$ are always approximations. -- 2.49.0