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Beliebt Rechnen >

derivative f(x)=\sqrt[3]{x}+sqrt(x)

Lösung

ableitung von

f (x) = 3 x + x

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x) + \frac{d}{d x} (x)

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

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

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

Graph

Beliebte Beispiele

derivative of sqrt(x^2-6)

\frac{d}{d x} (x^{2} - 6)

integral from 0 to 2 of (2x)/((x^2+3)^2)

\int_{0}^{2} \frac{2 x}{( x ^{2} + 3 ) ^{2}} d x

integral of sqrt(4)

\int 4

limit as x approaches 0+of 1/x-1/(|x|)

x \to 0 + lim (\frac{1}{x} - \frac{1}{∣ x ∣})

derivative of (1+e^x^4)

\frac{d}{d x} ((1 + e^{x})^{4})