What is (\partial)/(\partial z)(x^2y+z) ?

The answer to (\partial)/(\partial z)(x^2y+z) is 1

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(\partial)/(\partial z)(x^2y+z)

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

1

Solution steps

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

Treat

x, y

as constants

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial z} (x^{2} y) = 0

\frac{\partial}{\partial z} (z) = 1

= 0 + 1

Simplify

= 1

What is (\partial)/(\partial z)(x^2y+z) ?
The answer to (\partial)/(\partial z)(x^2y+z) is 1