What is (\partial)/(\partial x)(9xy-5x^2y) ?

The answer to (\partial)/(\partial x)(9xy-5x^2y) is 9y-10yx

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(\partial)/(\partial x)(9xy-5x^2y)

\frac{\partial}{\partial x} (9 x y - 5 x^{2} y)

9 y - 10 y x

Solution steps

\frac{\partial}{\partial x} (9 x y - 5 x^{2} y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (9 x y) - \frac{\partial}{\partial x} (5 x^{2} y)

\frac{\partial}{\partial x} (9 x y) = 9 y

\frac{\partial}{\partial x} (5 x^{2} y) = 10 y x

= 9 y - 10 y x

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

\frac{d}{d x} ((2 tan^{2} (2 x) - 1)^{\frac{1}{2}})

\frac{d}{d u} (u^{2} + v^{2})

n = 1 \sum \infty \frac{( - 3 ) ^{n}}{7 ^{n + 1}}

\int 8 (y^{4} + 4 y^{2} + 1)^{2} (y^{3} + 2 y) d y

What is (\partial)/(\partial x)(9xy-5x^2y) ?
The answer to (\partial)/(\partial x)(9xy-5x^2y) is 9y-10yx