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

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

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

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

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Popular >

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

\frac{d}{d x} ((5 + 3 x)^{5})

x \to \infty lim (- 3 x + x)

\frac{d}{d x} (\frac{4}{5} x^{\frac{3}{2}})

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

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

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