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Beliebt Rechnen >

derivative \sqrt[7]{t}-7e^t

Lösung

ableitung von

7 t - 7 e^{t}

Lösung

\frac{1}{7 t ^{\frac{6}{7}}} - 7 e^{t}

Schritte zur Lösung

\frac{d}{d t} (7 t - 7 e^{t})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (7 t) - \frac{d}{d t} (7 e^{t})

\frac{d}{d t} (7 t) = \frac{1}{7 t ^{\frac{6}{7}}}

\frac{d}{d t} (7 e^{t}) = 7 e^{t}

= \frac{1}{7 t ^{\frac{6}{7}}} - 7 e^{t}

Graph

Beliebte Beispiele

derivative f(x)=|4+7x|

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\frac{d}{d x} (a x + ln (x))

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\int (x^{2} + y^{2})^{\frac{1}{2}} d x