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Beliebt Rechnen >

derivative of cos^6(x)

Lösung

\frac{d}{d x} (cos^{6} (x))

Lösung

- 6 cos^{5} (x) sin (x)

Schritte zur Lösung

\frac{d}{d x} (cos^{6} (x))

Wende die Kettenregel an:

6 (cos (x))^{5} \frac{d}{d x} (cos (x))

= 6 (cos (x))^{5} \frac{d}{d x} (cos (x))

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

= 6 (cos (x))^{5} (- sin (x))

Vereinfache

= - 6 cos^{5} (x) sin (x)

Graph

Beliebte Beispiele

integral of (sec^2(θ)+6)

\int (sec^{2} (θ) + 6) d θ

derivative 1-2sin^2(x)

d er i v a t i v e 1 - 2 sin^{2} (x)

tangent y=((x+3)/(x-1))^2,(5,4)

t an g e n t y = (\frac{x + 3}{x - 1})^{2}, (5, 4)

f(x)=sin(x)+arcsin(x)

f (x) = sin (x) + arcsin (x)

derivative of log_{2}(5x)

\frac{d}{d x} (lo g_{2} (5 x))