怎么求s=(1+sint)/(1+cost)的导数?

问题描述:

怎么求s=(1+sint)/(1+cost)的导数?

ds/dt=[cost(1+cost)-(1+sint)(-sint)]/(1+cost)²
=(cost+cos²t+sint+sin²t)/(1+cost)²
=(cost+sint+1)/(1+cost)²(cost+sint+1)/(1+cost)² 这个形式有没有办法再化简呢?