摘要
1.Does a continuous function mean differentiable function ? If a function f(x) is continuous at a number a , then , f(x) has a derivative at a number a.Is it true ? For instance , we know the function f (x)=|x|is continuous at a number 0 , is it true that f(x) has a derivative at a number a ? Example 1 : Where is the function f(x)=|x|differentiable ? Solution : We know if x>0 , then f(x)=|x|=x.And we choose hsmall enough that x+h>0 , hence f(x+h)=x+h=x+h. Therefore , for x>0 , we
1. Does a continuous function mean differentiable function？
