derivative y=(6x^3+3x+1)^{10}

Lösung

ableitung von

y = (6 x^{3} + 3 x + 1)^{10}

10 (6 x^{3} + 3 x + 1)^{9} (18 x^{2} + 3)

Schritte zur Lösung

\frac{d}{d x} ((6 x^{3} + 3 x + 1)^{10})

Wende die Kettenregel an:

10 (6 x^{3} + 3 x + 1)^{9} \frac{d}{d x} (6 x^{3} + 3 x + 1)

= 10 (6 x^{3} + 3 x + 1)^{9} \frac{d}{d x} (6 x^{3} + 3 x + 1)

\frac{d}{d x} (6 x^{3} + 3 x + 1) = 18 x^{2} + 3

= 10 (6 x^{3} + 3 x + 1)^{9} (18 x^{2} + 3)

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