Show that if fx is continuous and fx has exactly two


Question: 1. The function y = t(x) is positive and continuous with a global maximum at the point (3, 3). Graph t(x) if t (x) and t"(x) have the same sign for x < 3, but opposite signs for x > 3.

2. Show that if f"(x) is continuous and f(x) has exactly two critical points, then f'(x) has a local maximum or local minimum between the two critical points.

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Mathematics: Show that if fx is continuous and fx has exactly two
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