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Beliebt Rechnen >

derivative cos(cos(cos(x)))

Lösung

ableitung von

cos (cos (cos (x)))

Lösung

- sin (cos (cos (x))) sin (cos (x)) sin (x)

Schritte zur Lösung

\frac{d}{d x} (cos (cos (cos (x))))

Wende die Kettenregel an:

- sin (cos (cos (x))) \frac{d}{d x} (cos (cos (x)))

= - sin (cos (cos (x))) \frac{d}{d x} (cos (cos (x)))

\frac{d}{d x} (cos (cos (x))) = sin (cos (x)) sin (x)

= - sin (cos (cos (x))) sin (cos (x)) sin (x)

Graph

Beliebte Beispiele

tangent x^4-32x^2+256

t an g e n t x^{4} - 32 x^{2} + 256

derivative of (x^3/(18))

\frac{d}{d x} (\frac{x ^{3}}{18})

derivative f(x)=4x(sin(x)+cos(x))

d er i v a t i v e f (x) = 4 x (sin (x) + cos (x))

integral of (4x+5)/(sqrt(4x+6))

\int \frac{4 x + 5}{4 x + 6} d x

derivative of (e^{-x}/(x^2))

\frac{d}{d x} (\frac{e ^{- x}}{x ^{2}})