derivative f(3)=10+12x-3x^2-x^3

Lösung

ableitung von

f (3) = 10 + 12 x - 3 x^{2} - x^{3}

- 3 x^{2} - 6 x + 12

Schritte zur Lösung

\frac{d}{d x} (10 + 12 x - 3 x^{2} - x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (10) + \frac{d}{d x} (12 x) - \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (10) = 0

\frac{d}{d x} (12 x) = 12

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

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

= 0 + 12 - 6 x - 3 x^{2}

Vereinfache

= - 3 x^{2} - 6 x + 12

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