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Beliebt Rechnen >

derivative cos^4(x)

Lösung

ableitung von

cos^{4} (x)

Lösung

- 4 cos^{3} (x) sin (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

4 (cos (x))^{3} \frac{d}{d x} (cos (x))

= 4 (cos (x))^{3} \frac{d}{d x} (cos (x))

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

= 4 (cos (x))^{3} (- sin (x))

Vereinfache

= - 4 cos^{3} (x) sin (x)

Graph

Beliebte Beispiele

tangent f(x)=x^3-4x,\at x=2

t an g e n t f (x) = x^{3} - 4 x, at x = 2

fläche 2x^2-1,0,1

a re a 2 x^{2} - 1, 0, 1

derivative sqrt(1-4x^2)

d er i v a t i v e 1 - 4 x^{2}

derivative (x+5)/(sqrt(x))

d er i v a t i v e \frac{x + 5}{x}

tangent f(x)=x^2-9x,\at x=3

t an g e n t f (x) = x^{2} - 9 x, at x = 3