From c5584123d2312ad26cd31e02002c5eba9bfe2643 Mon Sep 17 00:00:00 2001 From: arc Date: Sun, 26 Jan 2025 17:47:19 -0700 Subject: [PATCH] vault backup: 2025-01-26 17:47:19 --- education/math/MATH1210 (calc 1)/Derivatives.md | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/education/math/MATH1210 (calc 1)/Derivatives.md b/education/math/MATH1210 (calc 1)/Derivatives.md index c3ed692..8759472 100644 --- a/education/math/MATH1210 (calc 1)/Derivatives.md +++ b/education/math/MATH1210 (calc 1)/Derivatives.md @@ -7,9 +7,10 @@ Interpreting it, this can be described as the change in $y$ over the change in $ - Speed is always positive - Velocity is directional -As the distance between the two points - +As the distance between the two points $a$ and $b$ grow smaller, we get closer and closer to the instantaneous velocity of a point. Limits are suited to describing the behavior of a function as it approaches a point. +If we have the coordinate pair $(a, f(a))$, and the value $h$ is the distance between $a$ and another $x$ value, the coordinates of that point can be described as ($(a + h, f(a + h))$. With this info: +- The slope of the secant line can be described as $ # Line Types ## Secant Line A **Secant Line** connects two points on a graph.