http://www.math.upenn.edu/ugrad/calc/m114/exams/07cMath114FinalExam.pdf Problem 5
Nov 17, 2011 #1 AlonsoMcLaren 90 2 http://www.math.upenn.edu/ugrad/calc/m114/exams/07cMath114FinalExam.pdf Problem 5
Nov 17, 2011 #2 lurflurf Homework Helper 2,445 140 by the chain rule [tex]\frac{d}{dx}=\frac{\partial}{\partial x}+\frac{dy}{dx}\frac{\partial}{\partial y}[/tex]
by the chain rule [tex]\frac{d}{dx}=\frac{\partial}{\partial x}+\frac{dy}{dx}\frac{\partial}{\partial y}[/tex]
Nov 17, 2011 #4 lurflurf Homework Helper 2,445 140 [tex]\frac{d^2 y}{dx^2}=\frac{df}{dx}=\frac{\partial f}{\partial x}+f \frac{\partial f}{\partial y}[/tex] the values of f and its first order partials are known from the problem statement
[tex]\frac{d^2 y}{dx^2}=\frac{df}{dx}=\frac{\partial f}{\partial x}+f \frac{\partial f}{\partial y}[/tex] the values of f and its first order partials are known from the problem statement
