What is (\partial)/(\partial x)(1-x/y) ?

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

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(\partial)/(\partial x)(1-x/y)

\frac{\partial}{\partial x} (1 - \frac{x}{y})

- \frac{1}{y}

Solution steps

\frac{\partial}{\partial x} (1 - \frac{x}{y})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (1) = 0

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

= 0 - \frac{1}{y}

Simplify

= - \frac{1}{y}

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