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Beliebt Rechnen >

derivative of sqrt(x)-8\sqrt[3]{x}

Lösung

\frac{d}{d x} (x - 8 3 x)

Lösung

\frac{1}{2 x} - \frac{8}{3 x ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (x - 8 3 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x) - \frac{d}{d x} (8 3 x)

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

\frac{d}{d x} (8 3 x) = \frac{8}{3 x ^{\frac{2}{3}}}

= \frac{1}{2 x} - \frac{8}{3 x ^{\frac{2}{3}}}

Graph

Beliebte Beispiele

integral of arctan(8x)

\int arctan (8 x) d x

derivative f(x)=x(x^3-8)

d er i v a t i v e f (x) = x (x^{3} - 8)

(dy)/(dx)=(1-x)y^2

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

integral of 1/(2(1+x)^2)

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

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

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