Homework Statement
If x(u^2) + v=(y^3), 2yu - x(v^3)=4x. Find a) du/dx and b) dv/dx
Homework Equations
The Attempt at a Solution
Not sure if I am supposed to differentiate as is, or try and write u and v as functions of x and y. The answer is supposed to be:
a)...
Homework Statement
Suppose that the equation f(x,y,z)=0 can be solved for each of the three variables as a differentiable function of the other two. Prove that:
(dx/dy)(dy/dz)(dz/dx)=-1
Homework Equations
The Attempt at a Solution
In the case of two variables where one is a...
Edwards "Advanced Calculus of Several Variables"
We have been using some chapters from this textbook (1995 edition, ISBN: 978-0070602281) in my Advanced Calculus class, but our professor just gave us photocopies of the chapters we were covering (2 and 3 I think). I wanted to try to do some of...