Question

求下列函数的导数，最后一题，要求解题步骤

求下列函数的导数，最后一题，要求解题步骤最后一题

Answer 1

y=sin(x)/[1+cos(x)]
y'={sin'(x)·[1+cos(x)]-sin(x)·[1+cos(x)]'}/[1+cos(x)]² (u/v)'=(u'v-uv')/v²
={cos(x)·[1+cos(x)]-sin(x)·[-sin(x)]}/[1+cos(x)]²
=[cos(x)+cos²(x)+sin²(x)]/[1+cos(x)]²
=1/[1+cos(x)]