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Beliebt Rechnen >

derivative x^3-2x^2-4x+6

Lösung

ableitung von

x^{3} - 2 x^{2} - 4 x + 6

Lösung

3 x^{2} - 4 x - 4

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 2 x^{2} - 4 x + 6)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (2 x^{2}) - \frac{d}{d x} (4 x) + \frac{d}{d x} (6)

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

\frac{d}{d x} (2 x^{2}) = 4 x

\frac{d}{d x} (4 x) = 4

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

= 3 x^{2} - 4 x - 4 + 0

Vereinfache

= 3 x^{2} - 4 x - 4

Graph

Beliebte Beispiele

y^{''}-2y^'=x+2e^x,y(0)=18,y^'(0)= 31/4

y^{^{''}} - 2 y^{^{'}} = x + 2 e^{x}, y (0) = 18, y^{^{'}} (0) = \frac{31}{4}

derivative of 2cos(x+3sin(x))

\frac{d}{d x} (2 cos (x) + 3 sin (x))

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in v erse l a pl a ce \frac{s + 3}{s ^{2} + 2 s + 2}

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d/(du)(sqrt(u))

\frac{d}{d u} (u)