derivative y=ln(4/(x^3))

Lösung

ableitung von

y = ln (\frac{4}{x ^{3}})

- \frac{3}{x}

Schritte zur Lösung

\frac{d}{d x} (ln (\frac{4}{x ^{3}}))

Wende die Kettenregel an:

\frac{1}{\frac{4}{x ^{3}}} \frac{d}{d x} (\frac{4}{x ^{3}})

= \frac{1}{\frac{4}{x ^{3}}} \frac{d}{d x} (\frac{4}{x ^{3}})

\frac{d}{d x} (\frac{4}{x ^{3}}) = - \frac{12}{x ^{4}}

= \frac{1}{\frac{4}{x ^{3}}} (- \frac{12}{x ^{4}})

Vereinfache

\frac{1}{\frac{4}{x ^{3}}} (- \frac{12}{x ^{4}}) : - \frac{3}{x}

= - \frac{3}{x}

\frac{\partial}{\partial x} (x cos (\frac{1}{x ^{2} + y ^{2}}))

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

\frac{\partial}{\partial x} (x + y cos (y))

d er i v a t i v e \frac{4 x ^{2} + 2 x + 2}{x}

\frac{d}{d x} (x^{2} - 7 x + 2)