derivative (8-2x^3)^3

Lösung

ableitung von

(8 - 2 x^{3})^{3}

- 18 x^{2} (8 - 2 x^{3})^{2}

Schritte zur Lösung

\frac{d}{d x} ((8 - 2 x^{3})^{3})

Wende die Kettenregel an:

3 (8 - 2 x^{3})^{2} \frac{d}{d x} (8 - 2 x^{3})

= 3 (8 - 2 x^{3})^{2} \frac{d}{d x} (8 - 2 x^{3})

\frac{d}{d x} (8 - 2 x^{3}) = - 6 x^{2}

= 3 (8 - 2 x^{3})^{2} (- 6 x^{2})

Vereinfache

= - 18 x^{2} (8 - 2 x^{3})^{2}

\int \frac{1}{x 9 + x ^{2}} d x

\frac{\partial}{\partial x} (x y - ln (x^{2} - y^{2}))

5 x^{2} y^{^{'}} = y^{^{'}} + 6 x e^{- y}

\frac{\partial}{\partial x} ((x^{2} + y^{2} + z^{2})^{- \frac{1}{4}})

x \to 0 lim (\frac{x - 2}{x})