x^3(x-5)^2怎么求导?

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x^3(x-5)^2怎么求导?x^3(x-5)^2怎么求导?x^3(x-5)^2怎么求导?【x^3(x-5)^2】''=3x²(x-5)²+x³*2(x-5)=x²

x^3(x-5)^2怎么求导?
x^3(x-5)^2怎么求导?

x^3(x-5)^2怎么求导?
【x^3(x-5)^2】'
=3x²(x-5)²+x³*2(x-5)
=x²(x-5)[3(x-5)+2x]
=x²(x-5)(5x-15)
=5x²(x-5)(x-3)

x^3(x-5)^2=x^3(x^2-10x+25)=x^5-10x^4+25x^3
[x^3(x-5)^2]'=5x^4-40x^3+75x^2

3x^2(x-5)2+2x3(x-5)