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Beliebt Rechnen >

derivative y=sqrt(6x^3+11)

Lösung

ableitung von

y = 6 x^{3} + 11

Lösung

\frac{9 x ^{2}}{6 x ^{3} + 11}

Schritte zur Lösung

\frac{d}{d x} (6 x^{3} + 11)

Wende die Kettenregel an:

\frac{1}{2 6 x ^{3} + 11} \frac{d}{d x} (6 x^{3} + 11)

= \frac{1}{2 6 x ^{3} + 11} \frac{d}{d x} (6 x^{3} + 11)

\frac{d}{d x} (6 x^{3} + 11) = 18 x^{2}

= \frac{1}{2 6 x ^{3} + 11} \cdot 18 x^{2}

Vereinfache

\frac{1}{2 6 x ^{3} + 11} \cdot 18 x^{2} : \frac{9 x ^{2}}{6 x ^{3} + 11}

= \frac{9 x ^{2}}{6 x ^{3} + 11}

Graph

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