What is (\partial)/(\partial x)(4x+2y+2) ?

The answer to (\partial)/(\partial x)(4x+2y+2) is 4

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(\partial)/(\partial x)(4x+2y+2)

\frac{\partial}{\partial x} (4 x + 2 y + 2)

4

Solution steps

\frac{\partial}{\partial x} (4 x + 2 y + 2)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (4 x) + \frac{\partial}{\partial x} (2 y) + \frac{\partial}{\partial x} (2)

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

\frac{\partial}{\partial x} (2 y) = 0

\frac{\partial}{\partial x} (2) = 0

= 4 + 0 + 0

Simplify

= 4

What is (\partial)/(\partial x)(4x+2y+2) ?
The answer to (\partial)/(\partial x)(4x+2y+2) is 4