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

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

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

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

2

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (2 y) = 0

= 2 + 0

Simplify

= 2

f (x) = \frac{1}{x - 3}

\int \frac{( x + 6 )}{x ^{2} + 9} d x

\frac{s + 1}{s ^{2} - 3 s + 2}

\frac{\partial}{\partial x} (9 x + y + 7 x y)

f^{^{'}} (x) = 1 - 2 x

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