F(x)=∫(0积到1/x)xf(t)dt
=x*∫(0积到1/x)f(t)dt
F'(x)=∫(0积到1/x)f(t)dt+xf(1/x)*(-1/x^2)
=∫(0积到1/x)f(t)dt-1/x*f(1/x)
F''=f(1/x)*(-1/x^2)+1/x^2*f(1/x)-1/x*f(1/x)*(-1/x^2)
=1/x^3*f(1/x)
设f(x)在R上犹一阶导数,F(x)=∫(0积到1/x)xf(t)dt,(x≠0),则F(x)的二阶导数是?,麻烦帮帮忙,
设f(x)在R上犹一阶导数,F(x)=∫(0积到1/x)xf(t)dt,(x≠0),则F(x)的二阶导数是?,麻烦帮帮忙,
数学人气:195 ℃时间:2019-10-23 04:22:00
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