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

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

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

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

2 (y + x)

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= 2 (y + x) \cdot 1

Simplify

= 2 (y + x)

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