derivative \sqrt[3]{ln(x)}

Lösung

ableitung von

3 ln (x)

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{3 ln ^{\frac{2}{3}} ( x )} \cdot \frac{1}{x} : \frac{1}{3 x ln ^{\frac{2}{3}} ( x )}

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

x \to 0 lim (\frac{1}{2 + 3 ^{\frac{1}{x}}})

n = 1 \sum \infty \frac{1}{( n + 1 )}

n = 0 \sum \infty (- \frac{1}{2})^{n}

\frac{\partial}{\partial y} (2 x y^{3})

y^{^{''}} - 8 y^{^{'}} + 16 y = 2 t e^{4 t}