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**gracy** **state true or false**

1. If f has absolute minimum value at c then f '(c)=0

2. If f is contineous on(a,b) then f attains an absolute maximum value f(c) and absolute minimum value f(d) at some numbers c and d in (a,b)

3.If f is differentiable and f(-1)=f(1) then there is a number c such that |c|<0 and f ' (c)=0.

4.If f ' (x)=0 for 1<x<6 then f is decreasing on (1,6)

5.If f " (x) =0 then (2,f(2) is an inflection point of curve y=f(x).

6.If f ' (x) = g ' (x) for all 0<x<1 , then f(x) =g(x) for 0<x<1