What is (\partial)/(\partial x)(12+5xy) ?

The answer to (\partial)/(\partial x)(12+5xy) is 5y

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(\partial)/(\partial x)(12+5xy)

\frac{\partial}{\partial x} (12 + 5 x y)

5 y

Solution steps

\frac{\partial}{\partial x} (12 + 5 x y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (12) + \frac{\partial}{\partial x} (5 x y)

\frac{\partial}{\partial x} (12) = 0

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

= 0 + 5 y

Simplify

= 5 y

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What is (\partial)/(\partial x)(12+5xy) ?
The answer to (\partial)/(\partial x)(12+5xy) is 5y