What is (\partial)/(\partial x)(4xy-5x^2y) ?

The answer to (\partial)/(\partial x)(4xy-5x^2y) is 4y-10yx

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(\partial)/(\partial x)(4xy-5x^2y)

\frac{\partial}{\partial x} (4 x y - 5 x^{2} y)

4 y - 10 y x

Solution steps

\frac{\partial}{\partial x} (4 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} (4 x y) - \frac{\partial}{\partial x} (5 x^{2} y)

\frac{\partial}{\partial x} (4 x y) = 4 y

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

= 4 y - 10 y x

\frac{d}{d x} (3 sec (x))

y = 3 x^{2} + 2

\frac{d}{d x} ((\frac{5 ^{x}}{x ^{5}})^{s i n (x^{5})})

x \to - 2 lim (2016)

What is (\partial)/(\partial x)(4xy-5x^2y) ?
The answer to (\partial)/(\partial x)(4xy-5x^2y) is 4y-10yx