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Beliebt Rechnen >

derivative sqrt(18t^2+9)

Lösung

ableitung von

18 t^{2} + 9

Lösung

\frac{6 t}{2 t ^{2} + 1}

Schritte zur Lösung

\frac{d}{d t} (18 t^{2} + 9)

Wende die Kettenregel an:

\frac{1}{2 18 t ^{2} + 9} \frac{d}{d t} (18 t^{2} + 9)

= \frac{1}{2 18 t ^{2} + 9} \frac{d}{d t} (18 t^{2} + 9)

\frac{d}{d t} (18 t^{2} + 9) = 36 t

= \frac{1}{2 18 t ^{2} + 9} \cdot 36 t

Vereinfache

\frac{1}{2 18 t ^{2} + 9} \cdot 36 t : \frac{6 t}{2 t ^{2} + 1}

= \frac{6 t}{2 t ^{2} + 1}

Graph

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