Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 233
224 DIFFERENTIAL CALCULUS. 3d. Let m he a fraction, the numerator and denominator of whichare odd, as |. Then d^y_ 6 dx dx^ And if we now take a;=a, we shall have y=5, ■J= infinity, and —1= infinity, &c. dx dx … Now if we suppose x less than a, —^ will be positive, and ifgreater than a, negative. Hence for all values of x less than a, whichgive y positive, the curve will be convex, andfor all values of x greater than a, it will be con-cave towards the axis of X, as shown in thisfigure. But if the binomial…
Geometry, Analytic · Calculus
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