What is (\partial)/(\partial x)(3x+5y) ?

The answer to (\partial)/(\partial x)(3x+5y) is 3

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(\partial)/(\partial x)(3x+5y)

\frac{\partial}{\partial x} (3 x + 5 y)

3

Solution steps

\frac{\partial}{\partial x} (3 x + 5 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (3 x) + \frac{\partial}{\partial x} (5 y)

\frac{\partial}{\partial x} (3 x) = 3

\frac{\partial}{\partial x} (5 y) = 0

= 3 + 0

Simplify

= 3

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What is (\partial)/(\partial x)(3x+5y) ?
The answer to (\partial)/(\partial x)(3x+5y) is 3