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Beliebt Rechnen >

derivative of 2cos(x/2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= - sin (\frac{x}{2})

Graph

Beliebte Beispiele

derivative-4(x-9)^3

d er i v a t i v e - 4 (x - 9)^{3}

taylor (sin(x)), pi/2

t a y l or (sin (x)), \frac{π}{2}

sum from n=1 to infinity of (2n)/(3n)

n = 1 \sum \infty \frac{2 n}{3 n}

derivative 1+x^2

d er i v a t i v e 1 + x^{2}

integral from 0 to 9 of 4sqrt(x)-(4x)/3

\int_{0}^{9} 4 x - \frac{4 x}{3} d x