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

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

a re a 3 x^{4} - 3 x^{2}, 6 x^{2}

\frac{\partial}{\partial t} (\frac{t}{2 y ^{4}})

x \to 0 - lim (\frac{1}{2 + e ^{\frac{1}{x}}})

\int_{0}^{2} 2 x - x^{2} d x

a re a 9 x, x^{2} - 10