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

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

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

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

x - 2

Solution steps

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

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

\frac{\partial}{\partial y} (3 x) = 0

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

= x + 0 - 2

Simplify

= x - 2

\int_{0}^{1} x^{2} + 2 d x

\int \frac{tan ( \frac{2}{x} )}{x ^{2}} d x

n = 1 \sum \infty \frac{2 n + 1}{7 ^{n}}

\int_{- 1}^{1} tan (x) d x

x \to 1 - lim (- x^{2} + 5 x + a)

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