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第四个高数的题目求解
2017-11-25 · 知道合伙人金融证券行家
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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'(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
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