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Beliebt Rechnen >

derivative f(x)=4x^3-1x-2

Lösung

ableitung von

f (x) = 4 x^{3} - 1 x - 2

Lösung

12 x^{2} - 1

Schritte zur Lösung

\frac{d}{d x} (4 x^{3} - 1 \cdot x - 2)

Vereinfache

4 x^{3} - 1 \cdot x - 2 : 4 x^{3} - x - 2

= \frac{d}{d x} (4 x^{3} - x - 2)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d x}{d x} - \frac{d}{d x} (2)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d x}{d x} = 1

\frac{d}{d x} (2) = 0

= 12 x^{2} - 1 - 0

Vereinfache

= 12 x^{2} - 1

Graph

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