求这道复合函数导数的详细步骤

2025-05-23 00:14:01
推荐回答(1个)
回答(1):

y=[sin(x^4)]^2
dy/dx
=2[sin(x^4)]. d/dx {sin(x^4)}
=2[sin(x^4)]. cos(x^4) . d/dx (x^4)
=2[sin(x^4)]. cos(x^4) . (4x^3)
=8x^3.sin(x^4). cos(x^4)