What is the derivative of y=2x-2/x ?

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

What is the first derivative of y=2x-2/x ?

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

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derivative of

y = 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}})

Simplify

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

\int (10 x + 2) 5 x^{2} + 2 x d x

x \to 0 lim (\frac{4}{x csc ( 8 x )})

\int (4 e^{x} - \frac{5}{x}) d x

x \to - 1 lim (\frac{\frac{1}{x} + 1}{x + 1})

\int_{- 2}^{2} (4 - x^{2})^{2} d x

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