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Beliebt Rechnen >

derivative y=cos(x)-xsin(x)

Lösung

ableitung von

y = cos (x) - x sin (x)

Lösung

- 2 sin (x) - x cos (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - sin (x) - (sin (x) + x cos (x))

Vereinfache

= - 2 sin (x) - x cos (x)

Graph

Beliebte Beispiele

f (x) = x^{\frac{1}{6}}

derivative of sin^8(5x^2+8)

\frac{d}{d x} (sin^{8} (5 x^{2} + 8))

integral of (e^{13x})/((e^{13x)+5)^4}

\int \frac{e ^{13 x}}{( e ^{13 x} + 5 ) ^{4}} d x

(dy)/(dx)-0.11y=200

\frac{d y}{d x} - 0.11 y = 200

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

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