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已知f(x)=(x+1)(x+2)(x+3)……(x+100),求(f(x))的导数
人气:246 ℃ 时间:2020-02-03 14:26:29
解答
f(x)=(x+1)(x+2)(x+3)......(x+100),
lnf(x)=ln(x+1)+ln(x+2)+...+ln(x+100)
ln'f(x)=f'(x)/f(x)=1/(x+1)+1/(x+2)+.+1/(x+100)
f'(x)=f(x)*[1/(x+1)+1/(x+2)+...+1/(x+100)]
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