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

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

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

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

2

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (x) = 1

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

= 2 (1 + 0)

Simplify

= 2

x \to 0 + lim (\frac{1}{x ^{\frac{2}{3}}})

\frac{d}{d x} (\frac{x + 2}{9 x ^{2} e ^{x}})

\frac{\partial}{\partial x} (x^{2} + ln (y))

\frac{\partial}{\partial s} (\frac{r + s}{t})

sin (9 ln (x))

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