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

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

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

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

3 (x + y)^{2}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= 3 (x + y)^{2} \cdot 1

Simplify

= 3 (x + y)^{2}

\frac{\partial}{\partial x} (x^{2} yz - x y z^{3})

y = 7 x, y = x^{2} - 8

f (x) = \frac{x}{x + 9}

\frac{d}{d x} (2 e^{x} - 2)

\frac{d}{d x} ((2 x + 3) (2 x - 3))

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