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Beliebt Rechnen >

derivative f(x)=x^3-12x^2+45x

Lösung

ableitung von

f (x) = x^{3} - 12 x^{2} + 45 x

Lösung

3 x^{2} - 24 x + 45

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 12 x^{2} + 45 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (12 x^{2}) + \frac{d}{d x} (45 x)

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

\frac{d}{d x} (12 x^{2}) = 24 x

\frac{d}{d x} (45 x) = 45

= 3 x^{2} - 24 x + 45

Graph

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