From: Andrew Lorimer Date: Mon, 25 Mar 2019 11:08:24 +0000 (+1100) Subject: Merge branch 'master' of ssh://charles/tank/andrew/school/notes X-Git-Tag: yr12~185 X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/2e3b4eae42f5477f127dfdba183701b5d808665a?hp=0ab522b6571b42442998679a74b580b065135053 Merge branch 'master' of ssh://charles/tank/andrew/school/notes --- diff --git a/planner.xlsx b/planner.xlsx index df43142..8580776 100644 Binary files a/planner.xlsx and b/planner.xlsx differ diff --git a/spec/calculus.md b/spec/calculus.md index ca7f85d..6c6685a 100644 --- a/spec/calculus.md +++ b/spec/calculus.md @@ -176,6 +176,10 @@ $${d(\log_e x)\over dx} = x^{-1} = {1 \over x}$$ +Reciprocal derivatives: + +$${{dy \over dx} \over 1} = dx \over dy$$ + ## Differentiating $x=f(y)$ Find $dx \over dy$. Then $dx \over dy = {1 \over {dy \over dx}} \therefore {dy \over dx} = {1 \over {dx \over dy}$