derivative (x^2+1)^3

Lösung

ableitung von

(x^{2} + 1)^{3}

6 x (x^{2} + 1)^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 3 (x^{2} + 1)^{2} \cdot 2 x

Vereinfache

= 6 x (x^{2} + 1)^{2}

t an g e n t y = \frac{2}{x - 8}

x \to 1 lim (\frac{1}{1 - x ^{2}})

\int 4 x^{2} + 4 x + 1 d x

\frac{\partial}{\partial z} (4 e^{x} cos (yz))

\frac{\partial}{\partial x} (x (x + y))