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Beliebt Rechnen >

derivative of (x^2+5x-3^3)

Lösung

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

Lösung

3 (x^{2} + 5 x - 3)^{2} (2 x + 5)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 3 (x^{2} + 5 x - 3)^{2} (2 x + 5)

Graph

Beliebte Beispiele

fläche f(x)=sin(x),0,pi

a re a f (x) = sin (x), 0, π

fläche 1/(8x^2),x, x/(20)

a re a \frac{1}{8 x ^{2}}, x, \frac{x}{20}

integral of 6x(x^5-1/6)

\int 6 x (x^{5} - \frac{1}{6}) d x

(dQ)/(dt)=(0.03(1-Q)^{2/3})

\frac{d Q}{d t} = (0.03 (1 - Q)^{\frac{2}{3}})

integral from 2 to infinity of 4x^{-2}

\int_{2}^{\infty} 4 x^{- 2} d x