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Beliebt Rechnen >

derivative f(x)=sqrt(x)+5/(sqrt(x))

Lösung

ableitung von

f (x) = x + \frac{5}{x}

Lösung

\frac{1}{2 x} - \frac{5}{2 x ^{\frac{3}{2}}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (\frac{5}{x})

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

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

= \frac{1}{2 x} - \frac{5}{2 x ^{\frac{3}{2}}}

Graph

Beliebte Beispiele

integral of sqrt(5-x)

\int 5 - x d x

integral of (e^t)/t

\int \frac{e ^{t}}{t} d t

integral of e^{-λx}

\int e^{- λ x} d x

f (x) = x^{2} - 6

limit as x approaches-1+of x/(x^2+1)

x \to - 1 + lim (\frac{x}{x ^{2} + 1})