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Beliebt Rechnen >

derivative sqrt(x)+\sqrt[8]{x}

Lösung

ableitung von

x + 8 x

Lösung

\frac{1}{2 x} + \frac{1}{8 x ^{\frac{7}{8}}}

Schritte zur Lösung

\frac{d}{d x} (x + 8 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (8 x)

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

\frac{d}{d x} (8 x) = \frac{1}{8 x ^{\frac{7}{8}}}

= \frac{1}{2 x} + \frac{1}{8 x ^{\frac{7}{8}}}

Graph

Beliebte Beispiele

limit as x approaches infinity of (e^{4x})/(5x)

x \to \infty lim (\frac{e ^{4 x}}{5 x})

derivative (sin(x))^{(87)}

d er i v a t i v e (sin (x))^{(87)}

derivative of 1/3 e^{-3x}

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

inverselaplace 1/((s^2+2s+2)(s^2+9))

in v erse l a pl a ce \frac{1}{( s ^{2} + 2 s + 2 ) ( s ^{2} + 9 )}

derivative of (3x+1^2)

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