Question

If xy yz zx = 0, find partial z partial x and partial z partial y where x

a) y-z/y and x-z/x
b) y+z/y and x+z/y
c) z-y/y and z-x/z
d) z+y/z and z+x/z

Answer 1

The student appears to be asking for the partial derivatives of z with respect to x and y for given expressions of x and y. Due to unclear symbols and notation in the question, specific values of the derivatives cannot be calculated.

Step-by-step explanation:

The question provided appears to be related to the partial derivatives in mathematics, more specifically calculus. There seems to be a mix-up in the symbols and notation, but I will interpret the question to mean that we are looking for the partial derivative of z with respect to x (∂z/∂x) and the partial derivative of z with respect to y (∂z/∂y) given particular expressions for x and y. Unfortunately, with the current symbols and given information, I am unable to provide specific values for the partial derivatives without more context or correct expressions.