Recent content by anatta

You're right, it doesn't seem to work for the case you give. That is definitely how the problem is stated, though. It's from Stewart Calculus, 5ed, 14.6, #55. I guess it could be a typo...?

Yes, that's what I got when I applied the chain rule, although maybe my notation was confusing. d(tx,ty)/d(tx) times t = t^n d(x,y)/dx (the right side of the equation is the partial derivative with wrt x of the function given in the original definition) once you divide by t you get...

Homework Statement A function is called homogeneous of degree n if it satisfied the equation f(tx,ty) =t^(n) f(x,y), for all t, where n is a positive integer and f has continuous 2nd order partial derivatives. If f is homogeneous of degree n, show that df/dx (tx,ty) = t^(n-1) df/dx(x,y)...