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

The derivative of y= 2/x-x/2 is -2/(x^2)-1/2

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

The first derivative of y= 2/x-x/2 is -2/(x^2)-1/2

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derivative of

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

- \frac{2}{x ^{2}} - \frac{1}{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

= - \frac{2}{x ^{2}} - \frac{1}{2}

y = - sin (x) - \frac{1}{x}

x \to 3 + lim (5 x - [∣ x ∣])

\frac{d}{d x} ((25 - x^{2})^{\frac{1}{2}})

- \frac{e ^{- s}}{s ^{2}}

\int \frac{x ^{3}}{x ^{2} + 1} d x

What is the derivative of y= 2/x-x/2 ?
The derivative of y= 2/x-x/2 is -2/(x^2)-1/2
What is the first derivative of y= 2/x-x/2 ?
The first derivative of y= 2/x-x/2 is -2/(x^2)-1/2