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 256
t, dy = —■z=dx = ^v/edx ; that is, y is increasing nearly li times as fast as x. >/2iAt P where re = 3, ?/ = 6, and dy = dx ; that is, x and y are increasing equally.In general, at the focus the ordinate and abscissa of a parabola are increasingequally, since at this point y =^ p. At P^ where cc… … Fig. 11. DIFFERENTIATION OF ALGEBRAIC FUNCTIONS. 23 that y increases less and less rapidly as x becomes larger, x continuing to increaseat a uniform rate. At cc = co, y ceases to increase, i. e. the branches become par-allel to the axis of x.- Ex. 2. Examine the relative rates of change of the…
Geometry, Analytic · Calculus
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