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Beliebt Rechnen >

derivative of arccos(cos(x))

Lösung

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

Lösung

csc (x) sin^{2} (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= - \frac{1}{1 - ( cos ( x ) ) ^{2}} (- sin (x))

Vereinfache

- \frac{1}{1 - cos ^{2} ( x )} (- sin (x)) : csc (x) sin^{2} (x)

= csc (x) sin^{2} (x)

Graph

Beliebte Beispiele

implicit (dy)/(dx),sqrt(xy)=x-2y

im pl i c i t \frac{d y}{d x}, x y = x - 2 y

(dy)/(dx)=((x-3))/(y-4)

\frac{d y}{d x} = \frac{( x - 3 )}{y - 4}

integral of (289)/(x^3-17x^2)

\int \frac{289}{x ^{3} - 17 x ^{2}} d x

integral of (1-t)

\int (1 - t) d t

limit as x approaches 0+of Inx

x \to 0 + lim (I n x)