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Beliebt Rechnen >

derivative y=(x^3)/3-x^2-3x

Lösung

ableitung von

y = \frac{x ^{3}}{3} - x^{2} - 3 x

Lösung

x^{2} - 2 x - 3

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= x^{2} - 2 x - 3

Graph

Beliebte Beispiele

integral of (x^2+4x-7)/(x-1)

\int \frac{x ^{2} + 4 x - 7}{x - 1} d x

derivative of (8x-1/(6x+7))

\frac{d}{d x} (\frac{8 x - 1}{6 x + 7})

integral of-ln(x)-(ln(x))/4

\int - ln (x) - \frac{ln ( x )}{4} d x

integral from-2 to 4 of |t^2-2t-3|

\int_{- 2}^{4} t^{2} - 2 t - 3 d t

f^'(x)=2x^2+3x-2

f^{^{'}} (x) = 2 x^{2} + 3 x - 2