derivative of xe^x+1

Lösung

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

e^{x} x + e^{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= e^{x} + e^{x} x + 0

Vereinfache

= e^{x} x + e^{x}

n = 1 \sum \infty 1 - (\frac{1}{2})^{n}

x \to + (- 1) lim (arccos (x))

t an g e n t f (x) = \frac{9}{5 + x ^{2}}, at x = 4

t an g e n t f (x) = x^{2} + 3, at x = 6

\int \frac{cosh ( x )}{x} d x