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Beliebt Rechnen >

derivative of 3xe^{-x}-2x

Lösung

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

Lösung

3 (e^{- x} - e^{- x} x) - 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x e^{- x}) - \frac{d}{d x} (2 x)

\frac{d}{d x} (3 x e^{- x}) = 3 (e^{- x} - e^{- x} x)

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

= 3 (e^{- x} - e^{- x} x) - 2

Graph

Beliebte Beispiele

derivative of 2x+(18/x+1)

\frac{d}{d x} (2 x + \frac{18}{x} + 1)

integral of (2x^{1/2})

\int (2 x^{\frac{1}{2}}) d x

integral of sin(x)x^2

\int sin (x) x^{2} d x

y^{''}-(6/x)y^'-(8/(x^2))y=0

y^{^{''}} - (\frac{6}{x}) y^{^{'}} - (\frac{8}{x ^{2}}) y = 0

integral of cos^2(6x)

\int cos^{2} (6 x) d x