derivative f(x)=(x^4)/8-8x

Lösung

ableitung von

f (x) = \frac{x ^{4}}{8} - 8 x

\frac{x ^{3}}{2} - 8

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{4}}{8} - 8 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{4}}{8}) - \frac{d}{d x} (8 x)

\frac{d}{d x} (\frac{x ^{4}}{8}) = \frac{x ^{3}}{2}

\frac{d}{d x} (8 x) = 8

= \frac{x ^{3}}{2} - 8

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