From 1634d0e380152e2237e1a33d2f9be626ce4c6518 Mon Sep 17 00:00:00 2001 From: eggy Date: Mon, 11 Jan 2021 21:11:48 -0500 Subject: [PATCH] math: logarithmic differentiation --- docs/mhf4u7.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/docs/mhf4u7.md b/docs/mhf4u7.md index 0d02fe4..73cd59b 100644 --- a/docs/mhf4u7.md +++ b/docs/mhf4u7.md @@ -605,6 +605,8 @@ $$ \frac{d}{dx}\ln(g(x))=\frac{g´(x)}{g(x)} $$ +This opens up the possibility of **logarithmic differentiation**, which is required for exponential or logarithmic functions with a variable base. The **natural logarithm** of both sides should be taken prior to differentiation and logarithmic rules applied to simplify the equation. + ### Higher order derivatives The **second derivative** of $f(x)$ is the derivative of the first derivative of $f(x)$, that is, $f´´(x)$.