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Beliebt Rechnen >

derivative 3x^5-3x^4+x^3

Lösung

ableitung von

3 x^{5} - 3 x^{4} + x^{3}

Lösung

15 x^{4} - 12 x^{3} + 3 x^{2}

Schritte zur Lösung

\frac{d}{d x} (3 x^{5} - 3 x^{4} + x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{5}) - \frac{d}{d x} (3 x^{4}) + \frac{d}{d x} (x^{3})

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

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

= 15 x^{4} - 12 x^{3} + 3 x^{2}

Graph

Beliebte Beispiele

derivative y=((x^3))/(3^x)

d er i v a t i v e y = \frac{( x ^{3} )}{3 ^{x}}

fläche 5x-x^2,y=0

a re a 5 x - x^{2}, y = 0

laplacetransform t^2-2t+2

l a pl a ce t r an s f or m t^{2} - 2 t + 2

derivative of e^{2x}+xe^{2x}

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

taylor sqrt(3-x),0

t a y l or 3 - x, 0