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

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

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

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

5

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 5 + 0

Simplify

= 5

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