derivative of ln(ln(9x))

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

\int_{0}^{9} 2 π y (3 - \frac{y}{3}) d y

\frac{d}{d x} (- \frac{5 e ^{\frac{5}{x}}}{x ^{2}})

\frac{\partial}{\partial x} (30 - (x^{2} + y^{2}))

\int sin^{5} (11 x) d x

\int ([sin (x)]^{2} x + [cos (x)]^{2} x) d x