derivative of (x^2^3)

Lösung

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

6 x^{5}

Schritte zur Lösung

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

Vereinfache

(x^{2})^{3} : x^{6}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 6 x^{6 - 1}

Vereinfache

= 6 x^{5}

\frac{d}{d x} (\frac{sec ( x )}{1 + tan ( x )})

\frac{d}{d x} (- 0.0006 x (x - 15)^{2} (x - 40))

d er i v a t i v e y = x (7 x + 3)^{\frac{1}{3}}

x \to + 0 lim (x^{3} cos (\frac{π}{x}))

\frac{\partial}{\partial x} (sin (2 x y))