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Beliebt Rechnen >

derivative f(x)=x^5-3x+4

Lösung

ableitung von

f (x) = x^{5} - 3 x + 4

Lösung

5 x^{4} - 3

Schritte zur Lösung

\frac{d}{d x} (x^{5} - 3 x + 4)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{5}) - \frac{d}{d x} (3 x) + \frac{d}{d x} (4)

\frac{d}{d x} (x^{5}) = 5 x^{4}

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

\frac{d}{d x} (4) = 0

= 5 x^{4} - 3 + 0

Vereinfache

= 5 x^{4} - 3

Graph

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