derivative y=x^3-3x+1

Lösung

ableitung von

y = x^{3} - 3 x + 1

3 x^{2} - 3

Schritte zur Lösung

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

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

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

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

= 3 x^{2} - 3 + 0

Vereinfache

= 3 x^{2} - 3

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x \to 0.01 lim (a x^{2} - x + b)

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