derivative 2+6x^2-2x^3

Lösung

ableitung von

2 + 6 x^{2} - 2 x^{3}

- 6 x^{2} + 12 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (2) = 0

\frac{d}{d x} (6 x^{2}) = 12 x

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

= 0 + 12 x - 6 x^{2}

Vereinfache

= - 6 x^{2} + 12 x

\int - 3 x^{2} - 2 d x

\frac{\partial}{\partial x} (a x^{2} + b y^{2})

\frac{d}{d x} (\frac{x}{x ^{2} + 81})

d er i v a t i v e f (x) = 3 x + \frac{8}{x ^{3}}

n = 0 \sum \infty n + (- 1)^{n}