derivative of e^{-x^2}+x

Lösung

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

- 2 e^{- x^{2}} x + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - 2 e^{- x^{2}} x + 1

t an g e n t g (x) = 3 x, at x = 4

d er i v a t i v e y

\frac{d}{d x} (\frac{( - 3 x ^{2} )}{( ( x ^{2} - 2 x + 1 ) )})

\int_{1}^{\infty} \frac{x}{9 + x ^{2}} d x

x \to 2 lim (\frac{g ( x )}{h ( x )})