derivative \sqrt[3]{x-2}

Lösung

ableitung von

3 x - 2

\frac{1}{3 ( x - 2 ) ^{\frac{2}{3}}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x - 2) = 1

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

Vereinfache

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

\frac{d}{d x} (3 x^{2} - 2 x + 4)

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

x \to 1 lim (\frac{2 x + 3}{x + 1})

\frac{\partial}{\partial y} (166 x + 456 y - \frac{5000}{x} - \frac{1080}{y} + 43590)

\int 6 x csc (6 x) cot (6 x) d x