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Math & Puzzles - Algebra, Geometry, and Calculus
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The sign of the first derivative of a given function f informs you on the interval(s) where f(x) is positive, negative or equal to zero.
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A
False
💡 Explanation:
The first derivative f'(x) tells you where the original function f(x) is increasing or decreasing, not whether f(x) itself is positive or negative. A function can be decreasing (f'(x) < 0) while still being positive (f(x) > 0), such as f(x) = e^(-x) at x = 1.