What is (\partial)/(\partial y)(x^3-2xy+15) ?

The answer to (\partial)/(\partial y)(x^3-2xy+15) is -2x

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(\partial)/(\partial y)(x^3-2xy+15)

\frac{\partial}{\partial y} (x^{3} - 2 x y + 15)

- 2 x

Solution steps

\frac{\partial}{\partial y} (x^{3} - 2 x y + 15)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (x^{3}) - \frac{\partial}{\partial y} (2 x y) + \frac{\partial}{\partial y} (15)

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

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

\frac{\partial}{\partial y} (15) = 0

= 0 - 2 x + 0

Simplify

= - 2 x

What is (\partial)/(\partial y)(x^3-2xy+15) ?
The answer to (\partial)/(\partial y)(x^3-2xy+15) is -2x