What is the derivative of 2x+2/x ?

The derivative of 2x+2/x is 2-2/(x^2)

What is the first derivative of 2x+2/x ?

The first derivative of 2x+2/x is 2-2/(x^2)

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\frac{d}{d x} (2 x + \frac{2}{x})

2 - \frac{2}{x ^{2}}

Solution steps

\frac{d}{d x} (2 x + \frac{2}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (\frac{2}{x})

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

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

= 2 - \frac{2}{x ^{2}}

y = e^{x}, y = e^{2 x - 1}, x = 0

\int cos (\frac{1}{2}) d x

\int (\frac{3}{2 x - 1}) d x

\frac{d y}{d x}, x^{2} + y^{2} = 2 x y

\frac{d}{d t} (2 - t)

What is the derivative of 2x+2/x ?
The derivative of 2x+2/x is 2-2/(x^2)
What is the first derivative of 2x+2/x ?
The first derivative of 2x+2/x is 2-2/(x^2)