Multiple choice general knowledge math & puzzles

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.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
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.

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