What is (\partial)/(\partial x)(y-5x) ?

The answer to (\partial)/(\partial x)(y-5x) is -5

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(\partial)/(\partial x)(y-5x)

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

- 5

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (5 x) = 5

= 0 - 5

Simplify

= - 5

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What is (\partial)/(\partial x)(y-5x) ?
The answer to (\partial)/(\partial x)(y-5x) is -5