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

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

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

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

y + 3

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

\frac{\partial}{\partial x} (2 y) = 0

= y + 3 - 0

Simplify

= y + 3

\int \frac{3 x ^{2}}{9424} d x

\frac{d}{d x} (\frac{9}{x + 8})

f (x) = 2 x^{3} + 7 x, at x = 1

\frac{d}{d x} (- 19 e^{x})

\int arcsin (2 x) d x

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