derivative of x-2/x

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d x}{d x} = 1

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

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

Vereinfache

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

t an g e n t f (x) = x^{3} - 6 x, (2, - 4)

\int_{- 1}^{3} (2 x^{2} + 1) d x

\frac{\partial}{\partial y} (ln (x^{3} + y^{4}))

\frac{\partial}{\partial t} (r sin (t))

t an g e n t f (x) = 2 x^{2} + 5, at x = 1