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Beliebt Rechnen >

derivative of x^3-3x+6

Lösung

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

Lösung

3 x^{2} - 3

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 3 x^{2} - 3 + 0

Vereinfache

= 3 x^{2} - 3

Graph

Beliebte Beispiele

derivative of e^{-2x+1}

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

derivative g(t)= 3/(sqrt(t))

d er i v a t i v e g (t) = \frac{3}{t}

steigung f(x)= 3/(x-1)

s l o p e f (x) = \frac{3}{x - 1}

y^{''}+(2/x)y^'=2x+4

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(x+ye^{y/x})dx-xe^{y/x}dy=0,y(1)=0

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