What is (\partial)/(\partial y)(3x+8y+2) ?

The answer to (\partial)/(\partial y)(3x+8y+2) is 8

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(\partial)/(\partial y)(3x+8y+2)

\frac{\partial}{\partial y} (3 x + 8 y + 2)

8

Solution steps

\frac{\partial}{\partial y} (3 x + 8 y + 2)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (3 x) + \frac{\partial}{\partial y} (8 y) + \frac{\partial}{\partial y} (2)

\frac{\partial}{\partial y} (3 x) = 0

\frac{\partial}{\partial y} (8 y) = 8

\frac{\partial}{\partial y} (2) = 0

= 0 + 8 + 0

Simplify

= 8

\frac{\partial}{\partial x} (y ln (y))

\int sin (8 x) cos (6 x) d x

2 x y^{^{'}} - y = x^{2}

\int_{6}^{8} \frac{x}{x ^{2} + 4 x + 13} d x

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

What is (\partial)/(\partial y)(3x+8y+2) ?
The answer to (\partial)/(\partial y)(3x+8y+2) is 8