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

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

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(\partial)/(\partial x)((x+y+z)^2)

\frac{\partial}{\partial x} ((x + y + z)^{2})

2 (x + y + z)

Solution steps

\frac{\partial}{\partial x} ((x + y + z)^{2})

Treat

y, z

as constants

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x + y + z) = 1

= 2 (x + y + z) \cdot 1

Simplify

= 2 (x + y + z)

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