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

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

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(\partial)/(\partial x)(2*ln(x)+y)

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

\frac{2}{x}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{2}{x} + 0

Simplify

= \frac{2}{x}

\frac{d}{d x} (2 x^{2} e^{- x})

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

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

\int e^{x^{2} + 1} 2 x d x

\frac{d y}{d x} (\frac{1}{x ^{8}}) - 15 y = 12

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