Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 163
GEO.AIETRY [VHI, § 149 same as that used in §§ 138, 139 for finding the derivative ofa quadratic function. The first derivative ?/ of any function ?/ of x is defined, asin § 138, to be the Umit of the quotient A^/Ax as Ax approacheszero, Ay being the increment ofthe function y corresponding tothe… … Ax = tan «i; and the limit of this quotient as Ax approaches zero, i.e. as P^moves along the curve to P, is the slope of the tamjent at P: ?/ = tan a = lim -^ • ^ Ax=0 Ax If the function y be denoted l)y f{x), then Ay=f{xi-Ax)-f(:x),hence y ^li,,, fi^±^±if^. Ax=0 Ao; 150. Calculation of the…
Geometry, Analytic
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