What is (\partial)/(\partial y)(7x+5y) ?

The answer to (\partial)/(\partial y)(7x+5y) is 5

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(\partial)/(\partial y)(7x+5y)

\frac{\partial}{\partial y} (7 x + 5 y)

5

Solution steps

\frac{\partial}{\partial y} (7 x + 5 y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (7 x) + \frac{\partial}{\partial y} (5 y)

\frac{\partial}{\partial y} (7 x) = 0

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

= 0 + 5

Simplify

= 5

\int \frac{1}{x + 3 x} d x

\frac{\partial}{\partial x} (4 x cos (5 x y))

t^{3} \cdot e^{- 3 t}

\int 5 e^{- 3 x} d x

\frac{9 - x e ^{x}}{x + e ^{x}}

What is (\partial)/(\partial y)(7x+5y) ?
The answer to (\partial)/(\partial y)(7x+5y) is 5