求y=(x-1)(x-2)(x-3)...(x-10)(x大于10)的导数.详细过程

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求y=(x-1)(x-2)(x-3)...(x-10)(x大于10)的导数.详细过程

求y=(x-1)(x-2)(x-3)...(x-10)(x大于10)的导数.详细过程
求y=(x-1)(x-2)(x-3)...(x-10)(x大于10)的导数.
详细过程

求y=(x-1)(x-2)(x-3)...(x-10)(x大于10)的导数.详细过程
f(x)=(x-1)(x-2)……(x-10),
ln[f(x)]=ln[(x-1)(x-2)……(x-10)]
ln[f(x)]=ln(x-1)+ln(x-2)+……+ln(x-10)
{ln[f(x)]}'=[ln(x-1)+ln(x-2)+……+ln(x-10)]'
f'(x)/f(x)=1/(x-1)+1/(x-2)+……+1/(x-10)
f'(x)=[1/(x-1)+1/(x-2)+……+1/(x-10)]f(x)