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

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

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

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

3

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (8 y) = 0

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

= 3 + 0 + 0

Simplify

= 3

\frac{\partial}{\partial x} (3 x^{2} - 4 y^{3})

\int_{0}^{\frac{π}{2}} cos (3 x) d x

\int (2 e^{x} + 8 x^{3} + 6 x) d x

\int \frac{4}{15 sin ( x ) - 8 cos ( x )} d x

y = 4 - x^{2}

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