MATH 110 Lecture Notes - Lecture 27: Inflection Point, Inflection
Document Summary
A curve is said to be concave upwards when the slopes of lines tangent to the curves is concave upwards on then a, ) ( b f are increasing. Thus, if f if f a, ) ( b is differentiable on an interval is increasing on ( b a, ) This if f is decreasing on if f a, ) ( b ( b a, ) then a, ) ( b f. Since of the tangent lines to the measures the rate of change of (x) f the slope f (a) graph of at the point x, (x)) f to determine concavity of (x) f . , we can use f in for each value of for each value of a, ) ( b a, ) ( b (x) f in. To find all to zero x x such that such that (x) f (x) f . = x3 3 2 2 f (x) f (x)
