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Beliebt Rechnen >

derivative of ln(ln(6x))

Lösung

\frac{d}{d x} (ln (ln (6 x)))

Lösung

\frac{1}{x ln ( 6 x )}

Schritte zur Lösung

\frac{d}{d x} (ln (ln (6 x)))

Wende die Kettenregel an:

\frac{1}{ln ( 6 x )} \frac{d}{d x} (ln (6 x))

= \frac{1}{ln ( 6 x )} \frac{d}{d x} (ln (6 x))

\frac{d}{d x} (ln (6 x)) = \frac{1}{x}

= \frac{1}{ln ( 6 x )} \cdot \frac{1}{x}

Vereinfache

\frac{1}{ln ( 6 x )} \cdot \frac{1}{x} : \frac{1}{x ln ( 6 x )}

= \frac{1}{x ln ( 6 x )}

Graph

Beliebte Beispiele

derivative of x^2ln(1/x)

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

(\partial)/(\partial x)(9cos(xy)x)

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derivative sin^2(x^2-1)

d er i v a t i v e sin^{2} (x^{2} - 1)

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

integral of (-10x^2)/((x^3+2)^{-3)}

\int \frac{- 10 x ^{2}}{( x ^{3} + 2 ) ^{- 3}} d x