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Beliebt Rechnen >

derivative of e^{-x}+x^3-6

Lösung

\frac{d}{d x} (e^{- x} + x^{3} - 6)

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (e^{- x} + x^{3} - 6)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (e^{- x}) + \frac{d}{d x} (x^{3}) - \frac{d}{d x} (6)

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

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

\frac{d}{d x} (6) = 0

= - e^{- x} + 3 x^{2} - 0

Vereinfache

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

Graph

Beliebte Beispiele

integral of 2*x

\int 2 \cdot x d x

limit as x approaches 0 of (sin(4x))/4

x \to 0 lim (\frac{sin ( 4 x )}{4})

tangent y= 2/(x-2)

t an g e n t y = \frac{2}{x - 2}

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

\int \frac{1 - 2 x}{e ^{- 2 x}} d x

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