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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 187

An illustration from Analytic geometry and calculus, 1917, leaf 187
x = 2, — changes from — todx + . Then x = 2 gives a minimum value ofthe function. Its graph is in fig. 142. Referring to figs. 137 and 139, we see that if -*- = 0 at a maximum valuedx of y, the curve is concave downward, and that if -^ = 0 at a minimumdx value of y, the curve is concave upward.… … Fig. 142 MAXIMA AND MINIMA 171 It is evident that these tests can be used to advantage when it may be difficult or impossible to factor ~-i and that they fail if —4 also becomes zero.dzr Ex. 4. Light travels from a point A in one medium to a point B inanother, the two media being separated by a…

Geometry, Analytic · Calculus

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