(3/2x-1/2)^9=a0+a1x+a2x^+……a8x^+a9x^9,则a1+2a2+3a3+……8a8+9a9 =
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(3/2x-1/2)^9=a0+a1x+a2x^+……a8x^+a9x^9,则a1+2a2+3a3+……8a8+9a9 =
(3/2x-1/2)^9=a0+a1x+a2x^+……a8x^+a9x^9,则a1+2a2+3a3+……8a8+9a9 =
(3/2x-1/2)^9=a0+a1x+a2x^+……a8x^+a9x^9,则a1+2a2+3a3+……8a8+9a9 =
(a0+a1x+a2x^2+……a8x^+a9x^9)′
=(a1+2a2x+3a3x^2+……8a8x^7+9a9x^8)
f′(1)=a1+2a2+3a3+……8a8+9a9
=(3/2x-1/2)^9′
=9(3/2x-1/2)^8*3/2
=9*1*3/2
=27/2
【数学辅导团】为您解答,如果本题有什么不明白可以追问,
(3/2x-1/2)^9的导函数=(3/2)*9(3/2x-1/2)^8=(a1+2*a2*x+3*a3*x^2+……8*a8*x^7+9*a9*x^8)
将x=1代入
所以a1+2a2+3a3+……8a8+9a9 =27/2
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