What is (\partial)/(\partial x)(16x-4y-6yx) ?

The answer to (\partial)/(\partial x)(16x-4y-6yx) is -6y+16

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(\partial)/(\partial x)(16x-4y-6yx)

\frac{\partial}{\partial x} (16 x - 4 y - 6 y x)

- 6 y + 16

Solution steps

\frac{\partial}{\partial x} (16 x - 4 y - 6 y x)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (16 x) - \frac{\partial}{\partial x} (4 y) - \frac{\partial}{\partial x} (6 y x)

\frac{\partial}{\partial x} (16 x) = 16

\frac{\partial}{\partial x} (4 y) = 0

\frac{\partial}{\partial x} (6 y x) = 6 y

= 16 - 0 - 6 y

Simplify

= - 6 y + 16

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What is (\partial)/(\partial x)(16x-4y-6yx) ?
The answer to (\partial)/(\partial x)(16x-4y-6yx) is -6y+16