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Beliebt Rechnen >

derivative f(x)=x^3-3/2 x^2

Lösung

ableitung von

f (x) = x^{3} - \frac{3}{2} x^{2}

Lösung

3 x^{2} - 3 x

Schritte zur Lösung

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

Vereinfache

x^{3} - \frac{3}{2} x^{2} : x^{3} - \frac{3 x ^{2}}{2}

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 3 x^{2} - 3 x

Graph

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