Question

find the first partial derivatives of the function u=x^(y/z)

Answer 1

\[\frac{\delta u}{\delta x} = \frac{y}{z}x^{\frac{y}{z}-1}\]
\[\frac{\delta u}{\delta y} = \frac{1}{z}x^{\frac{y}{z}}*ln(x)\]
\[\frac{\delta u}{\delta z} = y*ln(z)*x^{\frac{y}{z}}*ln(x)\]
I think.

Answer 2

thanks