From 5586341dac84a59b423de6a50952fdc3fec865ee Mon Sep 17 00:00:00 2001 From: eggy Date: Tue, 20 Oct 2020 17:37:22 -0400 Subject: [PATCH] math: rearrange rules to latest and tell people rules are good --- docs/mhf4u7.md | 24 +++++++++++++----------- 1 file changed, 13 insertions(+), 11 deletions(-) diff --git a/docs/mhf4u7.md b/docs/mhf4u7.md index 0c477bd..bb8a2c0 100644 --- a/docs/mhf4u7.md +++ b/docs/mhf4u7.md @@ -436,8 +436,21 @@ results in the equation of the derivative function. Direct substitution of $h$ w f´(x)=4x $$ +### Drawing derivative functions + +If the slope of a tangent is: + + - positive/negative, that value on the derivative graph is also positive/negative, respectively + - zero, that value on the derivative graph is on the x-axis + +Points of inflection on the original function become maximum/minimum points on the derivative graph. + +The derivative of a linear equation is always constant, and the derivative of a constant value is $0$.. + ### Derivative rules +These rules can be used in place of/to supplement finding derivative functions using first principles and are usually much faster to calculate. + The degree of a derivative is always the degree of the original function$-1$. The **power rule** applies to all functions of the form $f(x)=x^n,x \in \mathbb{R}$, such that: @@ -462,17 +475,6 @@ $$f´(x) = g´(x) + h´(x)$$ $$f(x) = 2x^2 + 3x$$ $$f´(x) = 4x + 3$$ -### Drawing derivative functions - -If the slope of a tangent is: - - - positive/negative, that value on the derivative graph is also positive/negative, respectively - - zero, that value on the derivative graph is on the x-axis - -Points of inflection on the original function become maximum/minimum points on the derivative graph. - -The derivative of a linear equation is always constant, and the derivative of a constant value is $0$.. - ## Resources - [IB Math Analysis and Approaches Syllabus](/resources/g11/ib-math-syllabus.pdf)