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Beliebt Rechnen >

derivative of ln|ln(3x|)

Lösung

\frac{d}{d x} (ln ∣ ln (3 x) ∣)

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (ln ∣ ln (3 x) ∣)

Wende die Kettenregel an:

\frac{1}{∣ ln ( 3 x ) ∣} \frac{d}{d x} (∣ ln (3 x) ∣)

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative of e^{2x-4}

\frac{d}{d x} (e^{2 x - 4})

derivative f(x)=(2x)/(x^2+4)

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

integral of-9x^2sec(3x^3+1)tan(3x^3+1)

\int - 9 x^{2} sec (3 x^{3} + 1) tan (3 x^{3} + 1) d x

integral of inx

\int in x d x

(\partial)/(\partial x)(y{f}(x)+2x^3)

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