derivative f(x)=3x^5+2x^2

Lösung

ableitung von

f (x) = 3 x^{5} + 2 x^{2}

15 x^{4} + 4 x

Schritte zur Lösung

\frac{d}{d x} (3 x^{5} + 2 x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{5}) + \frac{d}{d x} (2 x^{2})

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

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

= 15 x^{4} + 4 x

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