What is (\partial)/(\partial x)(xyz^2-18) ?

The answer to (\partial)/(\partial x)(xyz^2-18) is yz^2

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(\partial)/(\partial x)(xyz^2-18)

\frac{\partial}{\partial x} (x y z^{2} - 18)

y z^{2}

Solution steps

\frac{\partial}{\partial x} (x y z^{2} - 18)

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x y z^{2}) - \frac{\partial}{\partial x} (18)

\frac{\partial}{\partial x} (x y z^{2}) = y z^{2}

\frac{\partial}{\partial x} (18) = 0

= y z^{2} - 0

Simplify

= y z^{2}

What is (\partial)/(\partial x)(xyz^2-18) ?
The answer to (\partial)/(\partial x)(xyz^2-18) is yz^2