If f '(c) = 0, then x = c is a critical point for this function?

If f '(c) = 0, then x = c is a critical point for this function (true or false)

If f '(c) = 0, then x = c is a critical point for this function?
This is true, please see your textbook. These T/F questions you post are basic ideas in calculus that would probably be in bold boxes in your book. If f'(c)=0 or if it does not exist, then c is indeed a critical point.
Reply:Actually the point would be (x, f(x)). x = c is not a point - it could be called a critical value I think though.
Reply:That is TRUE. That is, in fact, the definition of critical point (a point where the first derivative vanishes).

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