What is (\partial)/(\partial y)(2x-5y+3) ?

The answer to (\partial)/(\partial y)(2x-5y+3) is -5

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(\partial)/(\partial y)(2x-5y+3)

\frac{\partial}{\partial y} (2 x - 5 y + 3)

- 5

Solution steps

\frac{\partial}{\partial y} (2 x - 5 y + 3)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (2 x) - \frac{\partial}{\partial y} (5 y) + \frac{\partial}{\partial y} (3)

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

\frac{\partial}{\partial y} (5 y) = 5

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

= 0 - 5 + 0

Simplify

= - 5

\int (1 + e^{x} y + x e^{x} y) d x

\int_{1}^{\infty} x e^{- 2 x} d x

\frac{d}{d x} (a x^{2} e^{- 4 x})

\frac{3 d y}{d x} + 12 y = 4

\frac{\partial}{\partial x} (7 x^{2 y})

What is (\partial)/(\partial y)(2x-5y+3) ?
The answer to (\partial)/(\partial y)(2x-5y+3) is -5