What is (\partial)/(\partial z)(xy+2z) ?

The answer to (\partial)/(\partial z)(xy+2z) is 2

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(\partial)/(\partial z)(xy+2z)

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

2

Solution steps

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

Treat

x, y

as constants

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial z} (2 z) = 2

= 0 + 2

Simplify

= 2

\frac{\partial}{\partial x} (5 x y - 18 x)

\frac{d}{d x} ((7 x + 8) (8 x - 9))

\int \frac{x ^{2} - 225}{x} d x

y^{^{'}} = 2 x 1 - y^{2}

\frac{d}{d x} ((A x + B) e^{x})

What is (\partial)/(\partial z)(xy+2z) ?
The answer to (\partial)/(\partial z)(xy+2z) is 2