(d^4)/(dx^4)(1/(x^2))

Lösung

\frac{d ^{4}}{d x ^{4}} (\frac{1}{x ^{2}})

\frac{120}{x ^{6}}

Schritte zur Lösung

\frac{d ^{4}}{d x ^{4}} (\frac{1}{x ^{2}})

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

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

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

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

\frac{d}{d x} (\frac{6}{x ^{4}}) = - \frac{24}{x ^{5}}

= \frac{d}{d x} (- \frac{24}{x ^{5}})

\frac{d}{d x} (- \frac{24}{x ^{5}}) = \frac{120}{x ^{6}}

= \frac{120}{x ^{6}}

\int x^{2} cos (mπ x) d x

t an g e n t sin (5 x) + cos (4 x)

t an g e n t f (x) = \frac{1}{x + 2}, at x = 0

\int 9 x^{3} y + 3 y^{2} d x

x \to 0 - lim (4 (\frac{1}{x} - csc (x)))