如题所述
这两道题都是高等数学复合函数求导问题，这种题型可以参照课本中的公式和例题按部就班一步一步解下去就行。
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第1个回答 2019-10-28
4) y' = [e^(arctanx^(1/2)]' = e^[arctanx^(1/2)] * [arctanx^(1/2)]'
= e^[arctanx^(1/2)] *1/(1+x^2) *[x^(1/2)]' = e^[arctanx^(1/2)] /(1+x^2) *[1/2x^(1/2)]
= e^[arctanx^(1/2)] / [2(1+x^2) *x^(1/2)]
8) y' =(lnlnlnx)'=1/(lnlnx) * (lnlnx)' = 1/(lnlnx)* 1/lnx *(lnx)'=1/[lnx* (lnlnx)] *1/x
=1/(x*lnx*lnlnx)本回答被提问者采纳
= e^[arctanx^(1/2)] *1/(1+x^2) *[x^(1/2)]' = e^[arctanx^(1/2)] /(1+x^2) *[1/2x^(1/2)]
= e^[arctanx^(1/2)] / [2(1+x^2) *x^(1/2)]
8) y' =(lnlnlnx)'=1/(lnlnx) * (lnlnx)' = 1/(lnlnx)* 1/lnx *(lnx)'=1/[lnx* (lnlnx)] *1/x
=1/(x*lnx*lnlnx)本回答被提问者采纳
