(d^2)/(dx^2)(x^8e^x)

解答

\frac{d ^{2}}{d x ^{2}} (x^{8} e^{x})

e^{x} x^{8} + 16 e^{x} x^{7} + 56 e^{x} x^{6}

求解步骤

\frac{d ^{2}}{d x ^{2}} (x^{8} e^{x})

\frac{d}{d x} (x^{8} e^{x}) = 8 x^{7} e^{x} + e^{x} x^{8}

= \frac{d}{d x} (8 x^{7} e^{x} + e^{x} x^{8})

\frac{d}{d x} (8 x^{7} e^{x} + e^{x} x^{8}) = e^{x} x^{8} + 16 e^{x} x^{7} + 56 e^{x} x^{6}

= e^{x} x^{8} + 16 e^{x} x^{7} + 56 e^{x} x^{6}

\int_{0}^{1} 6 ln (x) d x

l a pl a ce t r an s f or m 3 t^{2} - 5 e^{3 t}

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

\int_{2}^{4} 3 x d x

\frac{\partial}{\partial x} (arctan (2 x))