作业帮f(x)在x=x0处可导,则lim[f（x)]²-[f(x0]²比x-x0等于
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/06 17:05:33
![f(x)在x=x0处可导,则lim[f（x)]²-[f(x0]²比x-x0等于](/uploads/image/z/1007965-37-5.jpg?t=f%28x%29%E5%9C%A8x%3Dx0%E5%A4%84%E5%8F%AF%E5%AF%BC%2C%E5%88%99lim%5Bf%EF%BC%88x%29%5D%26%23178%3B-%5Bf%28x0%5D%26%23178%3B%E6%AF%94x-x0%E7%AD%89%E4%BA%8E)
f(x)在x=x0处可导,则lim[f（x)]²-[f(x0]²比x-x0等于
f(x)在x=x0处可导,则lim[f（x)]²-[f(x0]²比x-x0等于
f(x)在x=x0处可导,则lim[f（x)]²-[f(x0]²比x-x0等于
lim(x->x0) [f²(x) - f²(x0) ] / (x-x0)
= lim(x->x0) [ f(x) - f(x0)] / (x-x0) * lim(x->x0) [ f(x) + f(x0)]
= f '(x0) * 2 f(x0)