What is (\partial)/(\partial x)(y-3x) ?

The answer to (\partial)/(\partial x)(y-3x) is -3

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(\partial)/(\partial x)(y-3x)

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

- 3

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - 3

Simplify

= - 3

x \to 0 lim (\frac{x}{sin ( π x )})

x \to - \infty lim (x^{5})

x \to 1 lim (3 x^{2} + 2 x + 1)

\frac{d}{d x} (x cos (\frac{1}{x}))

x \to - 1 lim ((x + 2 x^{3})^{4})

What is (\partial)/(\partial x)(y-3x) ?
The answer to (\partial)/(\partial x)(y-3x) is -3