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Beliebt Rechnen >

derivative of 1-(x+1e^{-x})

Lösung

\frac{d}{d x} (1 - (x + 1) e^{- x})

Lösung

e^{- x} x

Schritte zur Lösung

\frac{d}{d x} (1 - (x + 1) e^{- x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) - \frac{d}{d x} ((x + 1) e^{- x})

\frac{d}{d x} (1) = 0

\frac{d}{d x} ((x + 1) e^{- x}) = - e^{- x} x

= 0 - (- e^{- x} x)

Vereinfache

= e^{- x} x

Graph

Beliebte Beispiele

integral of (2x^5)/(sqrt(1-6x^6))

\int \frac{2 x ^{5}}{1 - 6 x ^{6}} d x

f(x)=sin(sqrt(x))

f (x) = sin (x)

derivative of-x/8

\frac{d}{d x} (- \frac{x}{8})

integral of (x^2)/(16-x^2)

\int \frac{x ^{2}}{16 - x ^{2}} d x

integral of (((3x+2))/(sqrt(19-5x+x^2)))

\int (\frac{( 3 x + 2 )}{19 - 5 x + x ^{2}}) d x