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

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

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(\partial)/(\partial y)(xy-x^2y)

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

x - x^{2}

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= x - x^{2}

\int 4 e^{- 0.8 x} d x

\int x (x^{2} + 1)^{\frac{1}{2}} d x

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

f (x) = - 3 3 x

x \to + (- 3) + lim (f (x))

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