求导 y=(1+x(2次方))(x次方)
求导 y=(1+x(2次方))(x次方)
数学人气:605 ℃时间:2019-09-20 13:05:48
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y=(1+x^2)^x这个要用对数求导法:lny=ln(1+x^2)^xlny=xln(1+x^2)两边分别对x求导:y'/y=ln(1+x^2)+x/(1+x^2)*(1+x^2)'=ln(1+x^2)+2x^2/(1+x^2)所以y/=(1+x^2)^x*[ln(1+x^2)+2x^2/(1+x^2)]注:因为x是y的函数,所以y对x求...
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