derivative f(x)=9x+13xe^x

Lösung

ableitung von

f (x) = 9 x + 13 x e^{x}

9 + 13 (e^{x} + e^{x} x)

Schritte zur Lösung

\frac{d}{d x} (9 x + 13 x e^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (9 x) + \frac{d}{d x} (13 x e^{x})

\frac{d}{d x} (9 x) = 9

\frac{d}{d x} (13 x e^{x}) = 13 (e^{x} + e^{x} x)

= 9 + 13 (e^{x} + e^{x} x)

\frac{\partial}{\partial z} (x^{2} e^{yz})

x \to 0 lim (\frac{x ^{3} + 5 x}{x})

\int_{0}^{x} \frac{1}{t ^{2} - 25} d t

y^{^{'}} = y + 3 t e^{t}, y (0) = 4

x \to 3 lim (x - 8)