derivative sqrt(x)+1/(sqrt(x))

Lösung

ableitung von

x + \frac{1}{x}

\frac{1}{2 x} - \frac{1}{2 x ^{\frac{3}{2}}}

Schritte zur Lösung

\frac{d}{d x} (x + \frac{1}{x})

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{1}{2 x} - \frac{1}{2 x ^{\frac{3}{2}}}

\frac{\partial}{\partial x} (5 x^{4} + 2 x y^{2} + 1)

\frac{d}{d y} ((\frac{1}{y ^{2}} - \frac{5}{y ^{4}}) (y + 7 y^{3}))

a re a x^{2} - 3 x, 2 x + 6

\frac{\partial}{\partial z} (x^{2} y - 3 x z + 5 y + 7 z)

\frac{d}{d x} (20 sin (x))