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

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

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

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

2 (x + y)

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= 2 (x + y) \cdot 1

Simplify

= 2 (x + y)

n = 1 \sum \infty \frac{1}{n ^{2} + 3 n + 2}

\int \frac{( x + 1 )}{( x ^{2} + 2 x )} d x

\int \frac{6 x ^{3} - 12 x ^{2} + 8}{x ^{2} - 2 x} d x

\int_{0}^{1} ((x + 2) (x - 3)) d x

e^{x + 2}

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