What is (\partial)/(\partial x)(z-xy) ?

The answer to (\partial)/(\partial x)(z-xy) is -y

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(\partial)/(\partial x)(z-xy)

\frac{\partial}{\partial x} (z - x y)

- y

Solution steps

\frac{\partial}{\partial x} (z - x y)

Treat

z, y

as constants

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (z) - \frac{\partial}{\partial x} (x y)

\frac{\partial}{\partial x} (z) = 0

\frac{\partial}{\partial x} (x y) = y

= 0 - y

Simplify

= - y

What is (\partial)/(\partial x)(z-xy) ?
The answer to (\partial)/(\partial x)(z-xy) is -y