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

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

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

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

3 y - 2 y x

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 3 y - 2 y x

\int_{2}^{4} (\frac{1}{2} x^{3} - 3 x + 2) d x

\frac{\partial}{\partial x} (cos (ln (x)))

\int 9 x e^{- 9 x} d x

f (x) = x^{2} - 3 x + 3

\frac{d}{d x} (d x)

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