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

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

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(\partial)/(\partial y)(x-3y)

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

- 3

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - 3

Simplify

= - 3

d y + 7 x d x = 0

\frac{d}{d x} (- \frac{2}{( 1 + x ) ^{3}})

\frac{x ^{2} + 3 x - 3}{3 x ^{2} - 5 x + 1}

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

\frac{\partial}{\partial x} (2 x^{3} + 2 y^{2} - 12 x y + 10)

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