First derivatives help.?

Question

How do you find the derivatives of the following:

F(Z1,Z2) = Z1^u*Z2^v

MRTS(Z1,Z2) = (uZ2/vZ1)

The variables are z1 and z2, u and v are positive constants, sorry.

It's from the cobb-douglas production function.

Answer 1

Each question is a function of two variables... and it has two derivatives, relative to each variable.

Derivative of F relative to Z1 is uZ1^(u-1)*Z2^v
Derivative of F relative to Z2 is Z1^u*vZ2^(v-1)

Derivative of MRTS relative to Z1 is -uZ2/(vZ1^2)

Derivative of MRTS relative to Z2 is u/(vZ1)

Answer 2

Notation not clear.
There are several variables?
Do you want partial derivatives?