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Beliebt Rechnen >

derivative \sqrt[4]{t}-4e^t

Lösung

ableitung von

4 t - 4 e^{t}

Lösung

\frac{1}{4 t ^{\frac{3}{4}}} - 4 e^{t}

Schritte zur Lösung

\frac{d}{d t} (4 t - 4 e^{t})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (4 t) - \frac{d}{d t} (4 e^{t})

\frac{d}{d t} (4 t) = \frac{1}{4 t ^{\frac{3}{4}}}

\frac{d}{d t} (4 e^{t}) = 4 e^{t}

= \frac{1}{4 t ^{\frac{3}{4}}} - 4 e^{t}

Graph

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