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Beliebt Rechnen >

derivative of xe^{-sin(x}-x)

Lösung

\frac{d}{d x} (x e^{- s i n (x)} - x)

Lösung

e^{- s i n (x)} - e^{- s i n (x)} x cos (x) - 1

Schritte zur Lösung

\frac{d}{d x} (x e^{- s i n (x)} - x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x e^{- s i n (x)}) - \frac{d x}{d x}

\frac{d}{d x} (x e^{- s i n (x)}) = e^{- s i n (x)} - e^{- s i n (x)} x cos (x)

\frac{d x}{d x} = 1

= e^{- s i n (x)} - e^{- s i n (x)} x cos (x) - 1

Graph

Beliebte Beispiele

limit as x approaches 2 of sqrt(2.1-1)+3

tangent f(x)=(x^2-12)(2x-9)

limit as z approaches 0 of (2z-8)^{1/3}

y^'=-2xtan(y),y(0)= pi/2