The graph of a smooth function crosses the -axis at
MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
The graph of a smooth function h crosses the x-axis at x=3. At that point the curve is decreasing, and the steepness is diminishing as x increases through 3. Is h′(3) positive, negative, or zero? State your choice and give one-sentence reasoning.