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Beliebt Rechnen >

derivative of (cos(x)^2)

Lösung

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

Lösung

- sin (2 x)

Schritte zur Lösung

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

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 (4x+3)e^{3x+1}

\int (4 x + 3) e^{3 x + 1} d x

integral of 1/((4+x)^2)

\int \frac{1}{( 4 + x ) ^{2}} d x

fläche y=-x^2+12x-32,y=0

a re a y = - x^{2} + 12 x - 32, y = 0

limit as x approaches 4 of (15)/(x-4)

x \to 4 lim (\frac{15}{x - 4})

((dy)/(dx))-y=4e^x+24e^{(4x)}

(\frac{d y}{d x}) - y = 4 e^{x} + 24 e^{(4 x)}