- #1

niekehecv

- 5

- 0

## Homework Statement

given z=yf(x^2-y^2)

show that the x(∂z/∂y)+y(∂z/∂x)=xz/y

## The Attempt at a Solution

cut it short, my

∂z/∂y= f(x^2-y^2)-2(y^2)f(x^2-y^2)

∂z/∂x=2xyf(x^2-y^2)

i was able to prove that

x(∂z/∂y)+y(∂z/∂x)=xz/y

But i need help with partial differentiations when they give an equation like z=f(x^2-y^2)

I've read about partially differentiating such equations somewhere before. Can someone please check if i am doing it right? Also, what is this kind of partial differentiation called? (such as partially differentiating z=f(x^2-y^2)

I would really appreciate if someone could tell me what is it called so i could read up more about it and do more examples of this kind.