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

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

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

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

2 y

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 y + 0

Simplify

= 2 y

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