What is (\partial)/(\partial x)(-2x-8y+18) ?

The answer to (\partial)/(\partial x)(-2x-8y+18) is -2

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(\partial)/(\partial x)(-2x-8y+18)

\frac{\partial}{\partial x} (- 2 x - 8 y + 18)

- 2

Solution steps

\frac{\partial}{\partial x} (- 2 x - 8 y + 18)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= - \frac{\partial}{\partial x} (2 x) - \frac{\partial}{\partial x} (8 y) + \frac{\partial}{\partial x} (18)

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

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

\frac{\partial}{\partial x} (18) = 0

= - 2 - 0 + 0

Simplify

= - 2

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

\frac{d}{d x} (\frac{1}{2} (x - \frac{1}{2} sin (2 x)))

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

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

\frac{d}{d x} (x^{2} arctan (ln (x)))

What is (\partial)/(\partial x)(-2x-8y+18) ?
The answer to (\partial)/(\partial x)(-2x-8y+18) is -2