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

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

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

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

2

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 2

Simplify

= 2

\frac{d}{d x} (x^{n} (ln (x))^{2})

f (x) = \frac{9 - x e ^{x}}{x + e ^{x}}

\frac{d}{d x} ((5 x - 2)^{3})

\frac{d}{d x} (sin^{2} (π - x))

\frac{d y}{d t} = \frac{3 t ^{2} + t e ^{- t} + 1}{2 y - 4}

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