作业帮设y=sin²[f(x²)],其中f具有二阶导数,求d²y/dx².
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 03:31:27
![设y=sin²[f(x²)],其中f具有二阶导数,求d²y/dx².](/uploads/image/z/13574086-70-6.jpg?t=%E8%AE%BEy%3Dsin%26%23178%3B%5Bf%28x%26%23178%3B%29%5D%2C%E5%85%B6%E4%B8%ADf%E5%85%B7%E6%9C%89%E4%BA%8C%E9%98%B6%E5%AF%BC%E6%95%B0%2C%E6%B1%82d%26%23178%3By%2Fdx%26%23178%3B.)
设y=sin²[f(x²)],其中f具有二阶导数,求d²y/dx².
设y=sin²[f(x²)],其中f具有二阶导数,求d²y/dx².
设y=sin²[f(x²)],其中f具有二阶导数,求d²y/dx².
设y=sin²[f(x²)],其中f具有二阶导数,求d²y/dx².
dy/dx=4sin[f(x²)]cos[f(x²)]f‘(x²)x
d²y/dx²=8{cos[f(x²)]}^2{f‘(x²)x}^2-8{sin(x²)]}^2{f‘(x²)x}^2+8sin[f(x²)]cos[f(x²)]f‘'(x²)x²+4sin[f(x²)]cos[f(x²)]f‘(x²)