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Beliebt Rechnen >

derivative of-x^3+3x^2+9x-1

Lösung

\frac{d}{d x} (- x^{3} + 3 x^{2} + 9 x - 1)

Lösung

- 3 x^{2} + 6 x + 9

Schritte zur Lösung

\frac{d}{d x} (- x^{3} + 3 x^{2} + 9 x - 1)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (x^{3}) + \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (9 x) - \frac{d}{d x} (1)

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

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

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

\frac{d}{d x} (1) = 0

= - 3 x^{2} + 6 x + 9 - 0

Vereinfache

= - 3 x^{2} + 6 x + 9

Graph

Beliebte Beispiele

taylor e^{2x},-2

t a y l or e^{2 x}, - 2

integral of 1/(-x^2+249x+250)

\int \frac{1}{- x ^{2} + 249 x + 250} d x

sum from n=0 to infinity of (-5)^n

n = 0 \sum \infty (- 5)^{n}

integral from 0 to 1 of (1+4xy)

\int_{0}^{1} (1 + 4 x y) d x

tangent y=3+4x^2-2x^3,(2,3)

t an g e n t y = 3 + 4 x^{2} - 2 x^{3}, (2, 3)