Mathematics · Calculus
If a function y = f(x) is strictly increasing and concave downward (inflected downwards) throughout an interval, which of the following is correct in terms of its first and second derivatives?
- 1dy/dx 0
- 2dy/dx < 0, d2y/dx2 < 0
- 3dy/dx > 0, d2y/dx2 > 0
- 4dy/dx > 0, d2y/dx2 < 0✓
Correct answer
dy/dx > 0, d2y/dx2 < 0
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