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Beliebt Rechnen >

derivative cos^9(x)

Lösung

ableitung von

cos^{9} (x)

Lösung

- 9 cos^{8} (x) sin (x)

Schritte zur Lösung

\frac{d}{d x} (cos^{9} (x))

Wende die Kettenregel an:

9 (cos (x))^{8} \frac{d}{d x} (cos (x))

= 9 (cos (x))^{8} \frac{d}{d x} (cos (x))

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

= 9 (cos (x))^{8} (- sin (x))

Vereinfache

= - 9 cos^{8} (x) sin (x)

Graph

Beliebte Beispiele

limit as x approaches-5+of sqrt(25-x^2)

x \to - 5 + lim (25 - x^{2})

y^{''}+y=cos(3t),y(0)=1,y^'(0)=0

y^{^{''}} + y = cos (3 t), y (0) = 1, y^{^{'}} (0) = 0

derivative f(x)=sqrt(8x)

d er i v a t i v e f (x) = 8 x

steigung x^4-13x^2+36

s l o p e x^{4} - 13 x^{2} + 36

derivative of (2x^2/(6x+1))

\frac{d}{d x} (\frac{2 x ^{2}}{6 x + 1})