derivative f(x)=(1+x+x^2)^{99}

Lösung

ableitung von

f (x) = (1 + x + x^{2})^{99}

99 (1 + x + x^{2})^{98} (2 x + 1)

Schritte zur Lösung

\frac{d}{d x} ((1 + x + x^{2})^{99})

Wende die Kettenregel an:

99 (1 + x + x^{2})^{98} \frac{d}{d x} (1 + x + x^{2})

= 99 (1 + x + x^{2})^{98} \frac{d}{d x} (1 + x + x^{2})

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

= 99 (1 + x + x^{2})^{98} (2 x + 1)