(d^2)/(dx^2)(x^{9/2}e^x)

Lösung

\frac{d ^{2}}{d x ^{2}} (x^{\frac{9}{2}} e^{x})

\frac{36 e ^{x} x ^{\frac{7}{2}} + 63 e ^{x} x ^{\frac{5}{2}} + 4 e ^{x} x ^{\frac{9}{2}}}{4}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (x^{\frac{9}{2}} e^{x})

\frac{d}{d x} (x^{\frac{9}{2}} e^{x}) = \frac{9 e ^{x} x ^{\frac{7}{2}}}{2} + e^{x} x^{\frac{9}{2}}

= \frac{d}{d x} (\frac{9 e ^{x} x ^{\frac{7}{2}}}{2} + e^{x} x^{\frac{9}{2}})

\frac{d}{d x} (\frac{9 e ^{x} x ^{\frac{7}{2}}}{2} + e^{x} x^{\frac{9}{2}}) = \frac{36 e ^{x} x ^{\frac{7}{2}} + 63 e ^{x} x ^{\frac{5}{2}} + 4 e ^{x} x ^{\frac{9}{2}}}{4}

= \frac{36 e ^{x} x ^{\frac{7}{2}} + 63 e ^{x} x ^{\frac{5}{2}} + 4 e ^{x} x ^{\frac{9}{2}}}{4}

x \to \infty lim (- 2 (x))

n = 1 \sum \infty \frac{9 n}{10}

s l o p e (- 10, - 3), (4, - 3)

\int e^{9 x - 14} d x

d er i v a t i v e g (x) = e^{3}