What is (\partial)/(\partial x)((x+3y)^2) ?

The answer to (\partial)/(\partial x)((x+3y)^2) is 2(x+3y)

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(\partial)/(\partial x)((x+3y)^2)

\frac{\partial}{\partial x} ((x + 3 y)^{2})

2 (x + 3 y)

Solution steps

\frac{\partial}{\partial x} ((x + 3 y)^{2})

Treat

y

as a constant

Apply the chain rule:

2 (x + 3 y) \frac{\partial}{\partial x} (x + 3 y)

= 2 (x + 3 y) \frac{\partial}{\partial x} (x + 3 y)

\frac{\partial}{\partial x} (x + 3 y) = 1

= 2 (x + 3 y) \cdot 1

Simplify

= 2 (x + 3 y)

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What is (\partial)/(\partial x)((x+3y)^2) ?
The answer to (\partial)/(\partial x)((x+3y)^2) is 2(x+3y)