急 [ln^3(x^2)+3]' 求导

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/03 09:54:50
急[ln^3(x^2)+3]''求导急[ln^3(x^2)+3]''求导急[ln^3(x^2)+3]''求导令a=ln(x^2)则先对a^3求导,再对ln求导,最后对x^2求导所以[ln^3(x^2)+3]

急 [ln^3(x^2)+3]' 求导
急 [ln^3(x^2)+3]' 求导

急 [ln^3(x^2)+3]' 求导
令a=ln(x^2)
则先对a^3求导,再对ln求导,最后对x^2求导
所以[ln^3(x^2)+3]'
=[ln^3(x^2)]'
=3[ln(x^2)]^2*[ln(x^2)]'
=3[ln(x^2)]^2*(1/x^2)*(x^2)'
=6x[ln(x^2)]^2*(1/x^2)
=(6/x)*[ln(x^2)]^2

3ln^2(x^2)*(1/(x^2))*2x