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Please help, T/F1. _____ If f'(x) =0 when x=c then f has either a minimum or maximum at x=c

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Please help, T/F1. _____ If f'(x) =0 when x=c then f has either a minimum or maximum at x=c.
2. _____ If a differentiable function f has a minimum or maximum at x=c, then f'(c)=0.

3. _____ If f is continuous on an open interval (a, b) then the f attains maximum or minimum in (a, b).

4. _____ If f'(x)=g'(x) then f(x) = g(x).

5. _____ If x=c is an inflection point for f, then f (c) must be a maximum or minimum of f.

6. _____ f(x) = ax2 +bx +c, (with a ≠ 0), can have only one critical point.

 
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