MAT 151, Calculus I, Fall 2003
EXAM 2
NAME:
Part I. Conceptual Problems. Each problem counts 5 points. Total = 100 points.
1-18. True or false, if it is false, give an example that disproves the statement.
1. If f0(c) = 0, then fhas a local maximum or minimum at c.
2. If fhas an absolute minimum value at c, then f0(c) = 0.
3. If fis continuous on (a, b), then fattains an absolute maximum value f(c) and an absolute
minimum value f(d) at some numbers cand din (a, b).
4. If f00(2) = 0, then (2, f(2)) is an inflection point of the curve y=f(x).
5. If f0(x) = g0(x) for 0 < x < 1, then f(x) = g(x) for 0 < x < 1.
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