derivative of \sqrt[9]{ln(x})

Lösung

\frac{d}{d x} (9 ln (x))

\frac{1}{9 x ln ^{\frac{8}{9}} ( x )}

Schritte zur Lösung

\frac{d}{d x} (9 ln (x))

Wende die Kettenregel an:

\frac{1}{9 ( ln ( x ) ) ^{\frac{8}{9}}} \frac{d}{d x} (ln (x))

= \frac{1}{9 ( ln ( x ) ) ^{\frac{8}{9}}} \frac{d}{d x} (ln (x))

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

= \frac{1}{9 ( ln ( x ) ) ^{\frac{8}{9}}} \cdot \frac{1}{x}

Vereinfache

\frac{1}{9 ln ^{\frac{8}{9}} ( x )} \cdot \frac{1}{x} : \frac{1}{9 x ln ^{\frac{8}{9}} ( x )}

= \frac{1}{9 x ln ^{\frac{8}{9}} ( x )}

\frac{d}{d x} (sec (sin (x)))

y^{^{''}} + 5 y^{^{'}} - 6 y = 0, y (0) = 2, y^{^{'}} (0) = - 1

x y^{2} d x + e^{x} d y = 0

in v erse l a pl a ce \frac{2 s}{( s ^{2} + 1 ) ^{2}}

\int sin (\frac{1}{2 x}) d x