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Beliebt Rechnen >

derivative \sqrt[3]{x}+2sqrt(x^3)

Lösung

ableitung von

3 x + 2 x^{3}

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

5(dx)/(dt)+10x=120sin(60t)

5 \frac{d x}{d t} + 10 x = 120 sin (60 t)

tangent f(x)= 1/(x-2),\at x=6

t an g e n t f (x) = \frac{1}{x - 2}, at x = 6

integral of 1/(2sin(x)-cos(x)+5)

\int \frac{1}{2 sin ( x ) - cos ( x ) + 5} d x

derivative of (sqrt(5)^x)

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

(2sqrt(t^2+1))^'

(2 t^{2} + 1)^{^{'}}