求下列函数的导数 .y=ln(cos(10-3x²))
问题描述:
求下列函数的导数 .y=ln(cos(10-3x²))
答
y'=[cos(10-3x^2)]'/cos(10-3x^2)
=-sin(10-3x^2)*(10-3x^2)'/cos(10-3x^2)
=-sin(10-3x^2)*(-6x)/cos(10-3x^2)
=6xtan(10-3x^2)