Which statement is false? (Calculus functions)?

Posted on 2016-03-12 14:00:00 in Math by MILAYO

Here is the pic since cant upload: http://s10.postimg.org/xu6pxrjuf/Capture.jpg 

One of the statement is false. Which one? 

1) if f-(x) exists for all x in R and the graph of f has two x-intercepts, then the graph of f' has at least one x-intercept 

2) given that tan(0)=tan(pi)=0. it follows by Rolle's Theorom that there exists a number C in (0,pi) such that sec^2(c)=0

3)the number c=0 is not a critical number of f(x)=x/abs(x) 

4)if f(-1)=101 and f'(x)=0 for all x in R, then f(2015)=101 

5)The only critical number of the function f(x)=x3 is c=0

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