derivative of x^{2/3}-1

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (1) = 0

= \frac{2}{3 x ^{\frac{1}{3}}} - 0

Vereinfache

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

a re a x, x^{1}, 0, 1

n \to \infty lim (\frac{n}{4})

x \to 0 + lim (x^{2} ln (3 x))

\int 10 tan (x) sec^{4} (x) d x

\frac{\partial}{\partial y} (e^{x z})