若f''(x)存在,且y=f(x^2),求(d^2y)/(dx^2)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 01:48:28
![若f''(x)存在,且y=f(x^2),求(d^2y)/(dx^2)](/uploads/image/z/7059578-50-8.jpg?t=%E8%8B%A5f%27%27%28x%29%E5%AD%98%E5%9C%A8%2C%E4%B8%94y%3Df%EF%BC%88x%5E2%EF%BC%89%2C%E6%B1%82%28d%5E2y%29%2F%28dx%5E2%29)
若f''(x)存在,且y=f(x^2),求(d^2y)/(dx^2)
若f''(x)存在,且y=f(x^2),求(d^2y)/(dx^2)
若f''(x)存在,且y=f(x^2),求(d^2y)/(dx^2)
dy/dx = 2xf'(x^2)
d^2y/dx^2 = d(2xf'(x^2))/dx = 2f'(x^2) + 4x^2f''(x^2)
这些都是套用复合函数导数公式而已,lz应该能自己搞出来