derivative of-x^3+6x^2-9x

Lösung

\frac{d}{d x} (- x^{3} + 6 x^{2} - 9 x)

- 3 x^{2} + 12 x - 9

Schritte zur Lösung

\frac{d}{d x} (- x^{3} + 6 x^{2} - 9 x)

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} (9 x)

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

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

\frac{d}{d x} (9 x) = 9

= - 3 x^{2} + 12 x - 9