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

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

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

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

- 5

Solution steps

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

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} (2)

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

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

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

= 0 - 5 + 0

Simplify

= - 5

x \to 4 + lim (\frac{3 x}{x - 4})

\int (u - 1) u d u

\int x^{\frac{4}{3}} d x

f (x) = \frac{ln ( x )}{x + 2}

\frac{\partial}{\partial x} (1 - x y cos (π y))

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