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

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

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

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

2

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 2

Simplify

= 2

e^{\frac{x}{( x - 4 )}}

y = \frac{5}{x}

y^{^{''}} + 6 y^{^{'}} + 9 = 0

\frac{d}{d x} (e^{- 0.5 x} (4 - x) - 2)

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