Along a curved line, the slope at the maximum
A) is zero.
B) is less than zero.
C) is greater than zero.
D) may be greater than, less than, or equal to zero.

Question

Quizplus · Accepted Answer

The slope at the maximum point of a curve would be zero if it is a maximum point and not a point of inflection. This is because the slope changes from positive to negative as you go from left to right on the curve, and at the maximum point, the slope turns from positive to zero, and then from zero to negative as you continue to move right. Therefore, the slope at the maximum point is zero.

Along a Curved Line, the Slope at the Maximum