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Beliebt Rechnen >

(d^3)/(dx^3)(ln(x+2))

Lösung

\frac{d ^{3}}{d x ^{3}} (ln (x + 2))

Lösung

\frac{2}{( x + 2 ) ^{3}}

Schritte zur Lösung

\frac{d ^{3}}{d x ^{3}} (ln (x + 2))

\frac{d}{d x} (ln (x + 2)) = \frac{1}{x + 2}

= \frac{d ^{2}}{d x ^{2}} (\frac{1}{x + 2})

\frac{d}{d x} (\frac{1}{x + 2}) = - \frac{1}{( x + 2 ) ^{2}}

= \frac{d}{d x} (- \frac{1}{( x + 2 ) ^{2}})

\frac{d}{d x} (- \frac{1}{( x + 2 ) ^{2}}) = \frac{2}{( x + 2 ) ^{3}}

= \frac{2}{( x + 2 ) ^{3}}

Beliebte Beispiele

derivative f(t)=sqrt(9t^2-t)

d er i v a t i v e f (t) = 9 t^{2} - t

integral of (8x^2)/(sqrt(9-x^2))

\int \frac{8 x ^{2}}{9 - x ^{2}} d x

fläche-2x^2+3,0x

a re a - 2 x^{2} + 3, 0 x

derivative (t^2)/(t-11)

d er i v a t i v e \frac{t ^{2}}{t - 11}

limit as x approaches-4 of x^2+2/(x+4)

x \to - 4 lim (x^{2} + \frac{2}{x + 4})