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Beliebt Rechnen >

derivative f(x)=cos(cos(cos(x)))

Lösung

ableitung von

f (x) = 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

sum from n=1 to infinity of 6/((n+1)!)

n = 1 \sum \infty \frac{6}{( n + 1 ) !}

y^{''}=a(y^')^2+b

y^{^{''}} = a (y^{^{'}})^{2} + b

derivative 4e^{3x}cos(4x)

d er i v a t i v e 4 e^{3 x} cos (4 x)

roo t s x y

(dy)/(dx)=(yx-y^2)/(x^2+yx)

\frac{d y}{d x} = \frac{y x - y ^{2}}{x ^{2} + y x}