derivative of x^3-6x^2+11x-6

Lösung

\frac{d}{d x} (x^{3} - 6 x^{2} + 11 x - 6)

3 x^{2} - 12 x + 11

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 6 x^{2} + 11 x - 6)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (11 x) - \frac{d}{d x} (6)

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

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (11 x) = 11

\frac{d}{d x} (6) = 0

= 3 x^{2} - 12 x + 11 - 0

Vereinfache

= 3 x^{2} - 12 x + 11

a re a y = 7 3 x, 0 \leq x \leq 27

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