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

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

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(\partial)/(\partial y)(x^2-2y)

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

- 2

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - 2

Simplify

= - 2

4 e^{- 3 t} cos (2 t)

t \to 0 lim (\frac{9}{t} - \frac{9}{t ^{2} + t})

(y - x) y^{^{'}} = y - x + 3

\int \frac{1}{1 + w ^{2}} d w

\frac{d}{d x} (2 1 + x^{2} + 1)

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