(d^2)/(dx^2)(x^5e^x)

Lösung

\frac{d ^{2}}{d x ^{2}} (x^{5} e^{x})

e^{x} x^{5} + 10 e^{x} x^{4} + 20 e^{x} x^{3}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (x^{5} e^{x})

\frac{d}{d x} (x^{5} e^{x}) = 5 x^{4} e^{x} + e^{x} x^{5}

= \frac{d}{d x} (5 x^{4} e^{x} + e^{x} x^{5})

\frac{d}{d x} (5 x^{4} e^{x} + e^{x} x^{5}) = e^{x} x^{5} + 10 e^{x} x^{4} + 20 e^{x} x^{3}

= e^{x} x^{5} + 10 e^{x} x^{4} + 20 e^{x} x^{3}

d er i v a t i v e y = 7 x

x \to - \infty lim (3^{x})

x \to 2 lim (- (\frac{x + 3}{x - 2}))

\int + \frac{sin ^{2} ( \frac{1}{t} )}{t ^{2}} d t

n = 1 \sum \infty \frac{n !}{n 3 ^{n}}