derivative of 3\sqrt[3]{x^2}-2x

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

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

\frac{\partial}{\partial z} (ln (1 + x y) - z)

d er i v a t i v e f (x) = x + 8

\int t ln (1 + t) d t

\int_{- 8}^{0} (\frac{y}{8} + y + 9) d y