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Beliebt Rechnen >

derivative of (cos(x)(cos(x)))

Lösung

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

Lösung

- sin (2 x)

Schritte zur Lösung

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

Vereinfache

(cos (x)) (cos (x)) : cos^{2} (x)

= \frac{d}{d x} (cos^{2} (x))

Wende die Kettenregel an:

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

= 2 cos (x) \frac{d}{d x} (cos (x))

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

= 2 cos (x) (- sin (x))

Vereinfache

2 cos (x) (- sin (x)) : - sin (2 x)

= - sin (2 x)

Graph

Beliebte Beispiele

integral of 1/(xsqrt(a^2-x^2))

\int \frac{1}{x a ^{2} - x ^{2}} d x

(dy)/(dx)=(y-1)^2+0.01,y(0)=1

\frac{d y}{d x} = (y - 1)^{2} + 0.01, y (0) = 1

derivative of (e^x-1^2)

\frac{d}{d x} ((e^{x} - 1)^{2})

integral of ((x+3))/(x^2+11x+18)

\int \frac{( x + 3 )}{x ^{2} + 11 x + 18} d x

d/(dy)(ye^{2xy}+x)

\frac{d}{d y} (y e^{2 x y} + x)