William Anthony Granville

“ The first derivative gives us the slope of the curve at any point; the second derivative determines the intervals within which the curve is concave upward or concave downward, and the points of inflection separate these intervals; the maximum points are the high points and the minimum points are the low points on the curve. ”

“ To determine the direction of curving or direction of bending in the vicinity of a point of inflection, test for values of x, first a trifle less and then a trifle greater than the abscissa at that point. ”

“ Ans. Max. (-2, 45) ; min. (6, -211) ; pt. of infl. (2, -83) ; tan. ; nor. .
3. .
Ans. Max. (0, 10) ; min. (± 1, 9) ; pt. of infl. .
4. .
Ans. Max. (0, 2) ; min. ; pt. of infl..
5. .
Ans. Max. (1, 3) ; min. (-1, -3) ; pt. ”