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Beliebt Rechnen >

derivative of cos(xcos(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

derivative of (x+8/(3x^2e^x))

\frac{d}{d x} (\frac{x + 8}{3 x ^{2} e ^{x}})

derivative of-(x^2/2+5x+3)

\frac{d}{d x} (- \frac{x ^{2}}{2} + 5 x + 3)

y^'=((x^2))/(y(1+x^3))

y^{^{'}} = \frac{( x ^{2} )}{y ( 1 + x ^{3} )}

integral from 0 to x of e^{-t}

\int_{0}^{x} e^{- t} d t

derivative of (x-x^3^x)

\frac{d}{d x} ((x - x^{3})^{x})