Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 231
is a constant, .. -—^— = o, hence the sec- ond term in the differentiation of the product is zero. »„, The d. c. of y = a-TArt. 30. —*■ y = ax :. Iny = x Ina, .. — . -2- = Ina.y dx - —2- = ax /wa .dx Art. 31. T/ze d. c. of y = exandy y = e--. ^ = 1 + ^ H f- 1.2 1.2.3 + - + • 1.2.3.4 Differentiating… … Elementary Calculus. 223 physical formulae makes these quantities of particularinterest to the student, who will have no difficulty in show-ing that when y = eax then -2- = aeax by a process similar dx to the above. Art. 32. The d.c. oj y = uv. Let y = uv when bothu and v are functions of x. Iny =…
Geometry, Analytic · Calculus
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