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Beliebt Rechnen >

derivative of cos(x-pi/6)

Lösung

\frac{d}{d x} (cos (x - \frac{π}{6}))

Lösung

- \frac{3}{2} sin (x) + \frac{1}{2} cos (x)

Schritte zur Lösung

\frac{d}{d x} (cos (x - \frac{π}{6}))

Vereinfache

cos (x - \frac{π}{6}) : \frac{3}{2} cos (x) + \frac{1}{2} sin (x)

= \frac{d}{d x} (\frac{3}{2} cos (x) + \frac{1}{2} sin (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{3}{2} cos (x)) + \frac{d}{d x} (\frac{1}{2} sin (x))

\frac{d}{d x} (\frac{3}{2} cos (x)) = - \frac{3}{2} sin (x)

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

= - \frac{3}{2} sin (x) + \frac{1}{2} cos (x)

Graph

Beliebte Beispiele

derivative y=(1-5x)^6

d er i v a t i v e y = (1 - 5 x)^{6}

integral of 5/(36+x^2)

\int \frac{5}{36 + x ^{2}} d x

integral from-1 to 4 of (7y)/(y^2-3y-10)

\int_{- 1}^{4} \frac{7 y}{y ^{2} - 3 y - 10} d y

limit as x approaches pi/2+of sin(x)

x \to \frac{π}{2} + lim (sin (x))

derivative of (3x^2-9^{-14})

\frac{d}{d x} ((3 x^{2} - 9)^{- 14})