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Beliebt Rechnen >

derivative of cos(x^{-4})

Lösung

\frac{d}{d x} (cos (x^{- 4}))

Lösung

\frac{4 sin ( \frac{1}{x ^{4}} )}{x ^{5}}

Schritte zur Lösung

\frac{d}{d x} (cos (x^{- 4}))

Wende die Kettenregel an:

- sin (x^{- 4}) \frac{d}{d x} (x^{- 4})

= - sin (x^{- 4}) \frac{d}{d x} (x^{- 4})

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

= - sin (x^{- 4}) (- \frac{4}{x ^{5}})

Vereinfache

- sin (x^{- 4}) (- \frac{4}{x ^{5}}) : \frac{4 sin ( \frac{1}{x ^{4}} )}{x ^{5}}

= \frac{4 sin ( \frac{1}{x ^{4}} )}{x ^{5}}

Graph

Beliebte Beispiele

limit as x approaches 2 of 5/(x-2)

x \to 2 lim (\frac{5}{x - 2})

steigung (3,-3),(5,-6)

s l o p e (3, - 3), (5, - 6)

y^{''}-2y^'+y=xe^xln(x)

y^{^{''}} - 2 y^{^{'}} + y = x e^{x} ln (x)

limit as x approaches 3 of 3x^3-5x^2+x-8

x \to 3 lim (3 x^{3} - 5 x^{2} + x - 8)

integral of 1/(x^2+6x+5)

\int \frac{1}{x ^{2} + 6 x + 5} d x