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Beliebt Rechnen >

derivative sqrt(x)-5\sqrt[3]{x}

Lösung

ableitung von

x - 5 3 x

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (x - 5 3 x)

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

derivative (1-2x^2)/(x^4-2x^2+6)

d er i v a t i v e \frac{1 - 2 x ^{2}}{x ^{4} - 2 x ^{2} + 6}

limit as h approaches 0 of ((f(h)(0+h)-f(0)))/h

h \to 0 lim (\frac{( f ( h ) ( 0 + h ) - f ( 0 ) )}{h})

integral of xf(x)

\int x f (x) d x

f (x) = 17 e^{x}

tangent f(x)=-x^2+4x,\at x=1

t an g e n t f (x) = - x^{2} + 4 x, at x = 1