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Beliebt Rechnen >

derivative sqrt(6t^2-t)

Lösung

ableitung von

6 t^{2} - t

Lösung

\frac{12 t - 1}{2 6 t ^{2} - t}

Schritte zur Lösung

\frac{d}{d t} (6 t^{2} - t)

Wende die Kettenregel an:

\frac{1}{2 6 t ^{2} - t} \frac{d}{d t} (6 t^{2} - t)

= \frac{1}{2 6 t ^{2} - t} \frac{d}{d t} (6 t^{2} - t)

\frac{d}{d t} (6 t^{2} - t) = 12 t - 1

= \frac{1}{2 6 t ^{2} - t} (12 t - 1)

Vereinfache

\frac{1}{2 6 t ^{2} - t} (12 t - 1) : \frac{12 t - 1}{2 6 t ^{2} - t}

= \frac{12 t - 1}{2 6 t ^{2} - t}

Graph

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