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

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

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

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

2 (x + y + z)

Solution steps

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

Treat

x, z

as constants

Apply the chain rule:

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

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

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

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

Simplify

= 2 (x + y + z)

\int e^{- x} - e^{- 3 x} d x

f (x) = 5 e^{x} cos (x), (0, 5)

\int_{0}^{2} y^{\frac{7}{2}} d y

\frac{d}{d x} (\frac{5 x}{x})

f (t) = t e^{2 t}

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