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Beliebt Rechnen >

derivative of-x^3+5x^2-6x

Lösung

\frac{d}{d x} (- x^{3} + 5 x^{2} - 6 x)

Lösung

- 3 x^{2} + 10 x - 6

Schritte zur Lösung

\frac{d}{d x} (- x^{3} + 5 x^{2} - 6 x)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (x^{3}) + \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (6 x)

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

\frac{d}{d x} (5 x^{2}) = 10 x

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

= - 3 x^{2} + 10 x - 6

Graph

Beliebte Beispiele

integral of ((x^2))/(1+x^2)

\int \frac{( x ^{2} )}{1 + x ^{2}} d x

derivative y= 4/(5-3(x))

d er i v a t i v e y = \frac{4}{5 - 3 ( x )}

limit as x approaches 4 of x/(x-4)

x \to 4 lim (\frac{x}{x - 4})

integral from 0 to 4 of x(4-x)

\int_{0}^{4} x (4 - x) d x

d y - (y - 1)^{2} = d x