What is (\partial)/(\partial x)(3/x-1-y) ?

The answer to (\partial)/(\partial x)(3/x-1-y) is -3/(x^2)

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(\partial)/(\partial x)(3/x-1-y)

\frac{\partial}{\partial x} (\frac{3}{x} - 1 - y)

- \frac{3}{x ^{2}}

Solution steps

\frac{\partial}{\partial x} (\frac{3}{x} - 1 - y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (\frac{3}{x}) - \frac{\partial}{\partial x} (1) - \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (\frac{3}{x}) = - \frac{3}{x ^{2}}

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

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

= - \frac{3}{x ^{2}} - 0 - 0

Simplify

= - \frac{3}{x ^{2}}

What is (\partial)/(\partial x)(3/x-1-y) ?
The answer to (\partial)/(\partial x)(3/x-1-y) is -3/(x^2)