Question

Partial derivatives

Answer 1

\[F(x,y,z)=\ln(xyz)\]

Answer 2

\[f'x\] = 1/x or yz/x ?

Answer 3

Using the chain rule you would get:
\[f(xyz)=\ln(xyz) \rightarrow f \prime(xyz) = \frac{1}{xyz} \times yz \rightarrow \frac{yz}{xyz} \rightarrow \frac{1}{x}\]