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Beliebt Rechnen >

(d^4)/(dx^4)(ln(x))

Lösung

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

Lösung

- \frac{6}{x ^{4}}

Schritte zur Lösung

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

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

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

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

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

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

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

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

= - \frac{6}{x ^{4}}

Beliebte Beispiele

integral from 1 to infinity of 1/(\sqrt[3]{x)}

\int_{1}^{\infty} \frac{1}{3 x} d x

derivative 15x^{1/4}

d er i v a t i v e 15 x^{\frac{1}{4}}

sum from n=0 to infinity of (2/3)^{n-1}

n = 0 \sum \infty (\frac{2}{3})^{n - 1}

y^'=(xy^3)/(25),y(0)=10

y^{^{'}} = \frac{x y ^{3}}{25}, y (0) = 10

9y^{''}-18y^'+15y=0

9 y^{^{''}} - 18 y^{^{'}} + 15 y = 0