d/(dt)(\sqrt[8]{t}-8e^t)

Lösung

\frac{d}{d t} (8 t - 8 e^{t})

\frac{1}{8 t ^{\frac{7}{8}}} - 8 e^{t}

Schritte zur Lösung

\frac{d}{d t} (8 t - 8 e^{t})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (8 t) - \frac{d}{d t} (8 e^{t})

\frac{d}{d t} (8 t) = \frac{1}{8 t ^{\frac{7}{8}}}

\frac{d}{d t} (8 e^{t}) = 8 e^{t}

= \frac{1}{8 t ^{\frac{7}{8}}} - 8 e^{t}

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