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

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

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

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

2

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial x} (y) = 0

= 2 (1 + 0)

Simplify

= 2

\int (1 + y) d y

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\int \frac{2 x}{2 - x ^{2}} d x

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