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Beliebt Rechnen >

derivative of (sin(x)/2)

Lösung

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

Lösung

\frac{1}{2} cos (x)

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die allgemeine Ableitungsregel an:

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

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

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+k^2x=0

\frac{d ^{2} x}{d t ^{2}} + k^{2} x = 0

limit as x approaches 0 of 1/(cos(x))

x \to 0 lim (\frac{1}{cos ( x )})

limit as x approaches 4 of 5/((x-4)^2)

x \to 4 lim (\frac{5}{( x - 4 ) ^{2}})

implicit (dy)/(dx),y^4=2x

im pl i c i t \frac{d y}{d x}, y^{4} = 2 x

derivative (14)/(2x+16)

d er i v a t i v e \frac{14}{2 x + 16}