What is (\partial}{\partial x}(\frac{x+z)/w) ?

The answer to (\partial}{\partial x}(\frac{x+z)/w) is 1/w

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(\partial}{\partial x}(\frac{x+z)/w)

\frac{\partial}{\partial x} (\frac{x + z}{w})

\frac{1}{w}

Solution steps

\frac{\partial}{\partial x} (\frac{x + z}{w})

Treat

z, w

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{w} \frac{\partial}{\partial x} (x + z)

Apply the Sum/Difference Rule:

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

= \frac{1}{w} (\frac{\partial}{\partial x} (x) + \frac{\partial}{\partial x} (z))

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

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

= \frac{1}{w} (1 + 0)

Simplify

= \frac{1}{w}

What is (\partial}{\partial x}(\frac{x+z)/w) ?
The answer to (\partial}{\partial x}(\frac{x+z)/w) is 1/w