From d9eecca52a86329aa4857590b1d5cb87c8b81e6e Mon Sep 17 00:00:00 2001 From: Andrew Lorimer Date: Mon, 25 Mar 2019 22:04:38 +1100 Subject: [PATCH] [spec] reciprocal differentiation --- spec/calculus.md | 4 ++++ 1 file changed, 4 insertions(+) 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 $dx \over dy = {1 \over {dy \over dx}} \therefore {dy \over dx} = {1 \over {dx \over dy}$ -- 2.47.1