What is (\partial)/(\partial y)(4x+9y-360) ?

The answer to (\partial)/(\partial y)(4x+9y-360) is 9

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(\partial)/(\partial y)(4x+9y-360)

\frac{\partial}{\partial y} (4 x + 9 y - 360)

9

Solution steps

\frac{\partial}{\partial y} (4 x + 9 y - 360)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (4 x) + \frac{\partial}{\partial y} (9 y) - \frac{\partial}{\partial y} (360)

\frac{\partial}{\partial y} (4 x) = 0

\frac{\partial}{\partial y} (9 y) = 9

\frac{\partial}{\partial y} (360) = 0

= 0 + 9 - 0

Simplify

= 9

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

\int - 2 e^{2 x} d x

\int \frac{e ^{4 x}}{25 - e ^{2 x}} d x

\frac{\partial}{\partial x} (ln (x^{2} + 2 y^{2}))

\frac{d y}{d x} = \frac{y}{( 1 + x ) ( 2 + x )}

What is (\partial)/(\partial y)(4x+9y-360) ?
The answer to (\partial)/(\partial y)(4x+9y-360) is 9