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

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

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

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

- 5

Solution steps

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

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

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

= 0 - 5

Simplify

= - 5

x \to 2 lim (7 - 3 x^{2} - x^{3})

\frac{d}{d x} (\frac{1}{4} e^{2 x^{2}})

\frac{\partial}{\partial x} (9 y^{2} - 1 x^{2})

\int \frac{1}{( a + b x ) x} d x

y^{^{''}} - 4 y^{^{'}} + 2 y = 0

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