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

Lösung

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

e^{x} x^{2} + 4 e^{x} x + 2 e^{x}

Schritte zur Lösung

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

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

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

\frac{d}{d x} (2 x e^{x} + e^{x} x^{2}) = e^{x} x^{2} + 4 e^{x} x + 2 e^{x}

= e^{x} x^{2} + 4 e^{x} x + 2 e^{x}

n = 0 \sum \infty - 3^{n}

t an g e n t \frac{7}{x}

\int \frac{1}{- x ^{2} + 4 x - 1} d x

t an g e n t y = x^{2} - 12 x + 4

\int e^{t} sin (3 t) d t