From 981311af13e9e64705db0be6ef2dfa3409df8c6f Mon Sep 17 00:00:00 2001 From: "Christoph J. 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Calculate the first-order partial derivatives. +]) + +$ +g(x,y) &= x ; (delta g)/(delta x) = 1 ; (delta g)/(delta y) = 0 \ +h(x,y) &= sqrt(y^2+x^2) ; (delta h)/(delta x) = sqrt(y^2+x^2) dot 2x ; (delta h)/(delta y) = sqrt(y^2+x^2) dot 2y \ +\ +(delta f)/(delta x) &= g dot h' + g' dot h = x dot sqrt(y^2+x^2) dot 2x + 1 dot sqrt(x^2+y^2) \ +&= sqrt(x^2+y^2) (2x^2 + 1) \ + +(delta f)/(delta y) &= g dot h' + g' dot h = x dot sqrt(x^2+y^2) dot 2y + 0 dot dots \ +&= x dot sqrt(x^2+y^2) dot 2y + +\ "dödö falsch" +$ diff --git a/src/exercise/index.typ b/src/exercise/index.typ index 5cd43bd..57943e1 100644 --- a/src/exercise/index.typ +++ b/src/exercise/index.typ @@ -5,3 +5,5 @@ #include "3.typ" #pagebreak() #include "4.typ" +#pagebreak() +#include "5.typ"