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

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

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

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

1

Solution steps

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

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

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

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

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

= 1 + 0

Simplify

= 1

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