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

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

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

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

2 (x + y)

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

= 2 (x + y) \cdot 1

Simplify

= 2 (x + y)

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\frac{d}{d x} (2 sin (x) + 5 cos (3 π x))

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