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Beliebt Rechnen >

(d^3)/(dx^3)(ln(x+1))

Lösung

\frac{d ^{3}}{d x ^{3}} (ln (x + 1))

Lösung

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

Schritte zur Lösung

\frac{d ^{3}}{d x ^{3}} (ln (x + 1))

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

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

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

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

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

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

Beliebte Beispiele

steigung (0,2),(4,-2)

s l o p e (0, 2), (4, - 2)

81y^{''}+18y^'+y=0

81 y^{^{''}} + 18 y^{^{'}} + y = 0

steigung (1.2)(2.4)

s l o p e (1.2) (2.4)

derivative of (4x^3+3x^2/x)

\frac{d}{d x} (\frac{4 x ^{3} + 3 x ^{2}}{x})

geradzahligkeit f(x)=tan^{40}(sec(cos(x)))

p a r i t y f (x) = tan^{40} (sec (cos (x)))