What is (\partial)/(\partial y)(2x^3y+3) ?

The answer to (\partial)/(\partial y)(2x^3y+3) is 2x^3

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(\partial)/(\partial y)(2x^3y+3)

\frac{\partial}{\partial y} (2 x^{3} y + 3)

2 x^{3}

Solution steps

\frac{\partial}{\partial y} (2 x^{3} y + 3)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (2 x^{3} y) + \frac{\partial}{\partial y} (3)

\frac{\partial}{\partial y} (2 x^{3} y) = 2 x^{3}

\frac{\partial}{\partial y} (3) = 0

= 2 x^{3} + 0

Simplify

= 2 x^{3}

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What is (\partial)/(\partial y)(2x^3y+3) ?
The answer to (\partial)/(\partial y)(2x^3y+3) is 2x^3