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Beliebt Rechnen >

derivative of ln(ln(4x))

Lösung

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

Lösung

\frac{1}{x ln ( 4 x )}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{ln ( 4 x )} \frac{d}{d x} (ln (4 x))

= \frac{1}{ln ( 4 x )} \frac{d}{d x} (ln (4 x))

\frac{d}{d x} (ln (4 x)) = \frac{1}{x}

= \frac{1}{ln ( 4 x )} \cdot \frac{1}{x}

Vereinfache

\frac{1}{ln ( 4 x )} \cdot \frac{1}{x} : \frac{1}{x ln ( 4 x )}

= \frac{1}{x ln ( 4 x )}

Graph

Beliebte Beispiele

derivative (x^2-4x)/(x+1)

d er i v a t i v e \frac{x ^{2} - 4 x}{x + 1}

y^{''}+2y^'=sin(x)

y^{^{''}} + 2 y^{^{'}} = sin (x)

derivative of sec^2(3x*3)

\frac{d}{d x} (sec^{2} (3 x) \cdot 3)

limit as x approaches-10-of sqrt(4x+40)

x \to - 10 - lim (4 x + 40)

tangent f(x)=26-x^2,(-5,1)

t an g e n t f (x) = 26 - x^{2}, (- 5, 1)