f(x)=x^3*e^x
f'(x)=(x^3+3x^2)e^x
f''(x)=(x^3+6x^2+6x)e^x
f'''(x)=(x^3+6x^2+6x+3x^2+12x+6)e^x=(x^3+9x^2+18x+6)e^x
f^(4)(x)=(x^3+9x^2+18x+6+3x^2+18x+18)e^x=(x^3+12x^2+36x+24)e^x
f^(5)(x)=(x^3+12x^2+36x+24+3x^2+24x+36)e^x=(x^3+15x^2+60x+60)e^x
f^(6)(x)=(x^3+15x^2+60x+60+3x^2+30x+60)e^x=(x^3+18x^2+90x+120)e^x
......
f^(n)(x)=[x^3+3nx^2+3n(n-1)x+n(n-1)(n-2)]e^x
所以f^(10)(x)=[x^3+30x^2+270x+720]e^x
内容全部来源于网络收集，如有侵权，请联系网站删除：QQ：24596024