Question

sinx的高阶导数怎么求的

Answer 1

一阶：cos(sin(x))*cos(x)
二阶：- sin(sin(x))*cos(x)^2 - cos(sin(x))*sin(x)
三阶：3*sin(sin(x))*cos(x)*sin(x) - cos(sin(x))*cos(x)^3 - cos(sin(x))*cos(x)
四阶：cos(sin(x))*sin(x) - 3*sin(sin(x))*sin(x)^2 + 4*sin(sin(x))*cos(x)^2 + sin(sin(x))*cos(x)^4 + 6*cos(sin(x))*cos(x)^2*sin(x)

Answer 2

引用cn#aaQfaukppQ的回答：
一阶：cos(sin(x))*cos(x)
二阶：- sin(sin(x))*cos(x)^2 - cos(sin(x))*sin(x)
三阶：3*sin(sin(x))*cos(x)*sin(x) - cos(sin(x))*cos(x)^3 - cos(sin(x))*cos(x)
四阶：cos(sin(x))*sin(x) - 3*sin(sin(x))*sin(x)^2 + 4*sin(sin(x))*cos(x)^2 + sin(sin(x))*cos(x)^4 + 6*cos(sin(x))*cos(x)^2*sin(x)

楼上。。。。。神仙解法没。。