What is (\partial)/(\partial y)(6x+10y) ?

The answer to (\partial)/(\partial y)(6x+10y) is 10

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(\partial)/(\partial y)(6x+10y)

\frac{\partial}{\partial y} (6 x + 10 y)

10

Solution steps

\frac{\partial}{\partial y} (6 x + 10 y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (6 x) + \frac{\partial}{\partial y} (10 y)

\frac{\partial}{\partial y} (6 x) = 0

\frac{\partial}{\partial y} (10 y) = 10

= 0 + 10

Simplify

= 10

\frac{d}{d x} (6 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x))

5 x^{^{''}} + 5 x^{^{'}} + 6 x = 0, x^{^{'}} (0) = 0.45, x (0) = - 0.3

\int \frac{cos ( x )}{x} d x

\frac{\partial}{\partial x} (x z^{2})

\int \frac{5}{6 + 5 x} d x

What is (\partial)/(\partial y)(6x+10y) ?
The answer to (\partial)/(\partial y)(6x+10y) is 10