A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 323
d mini-mum, as here used, do not mean thegreatest possible and least possible.Thus, if we ask for the maximumvalue of 3/ in 3/ = «;•* — Zax^ — 5, wedo not inquire, what is the greatestpossible value which y can have ?but simply, whether if x vary con-tinuously through all possible values,there is… … Fig. 22. 1S2, JPfop.—In an explicit function of a single variable, y = f(x), dy the first diffey^ential coefficient, —jChanges sign from, -f to —,for contin-uously increasing values of the variable, where the function is at a maxi-mum, and from — to -{- where the function is at a minimum. Hence…
Geometry, Analytic · Calculus
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