Is “the slope of the tangent to a curve at a point” the same as “the slope of the curve at a point”? Can a single point have a slope or is it only defined for two or more points that form a straight line?
Furthermore is the “slope” of a function the same as the “rate of change” of a function? Because I never see people saying the “slope” of a function but only the “rate of change” of a function which has lead me to believe that “slope” is purely a geometric concept. Correct me if I am wrong. Thanks in advance.