Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 158
7(.# -2), or y-7x — 4. If ?T (fig. 123) is a tangent line and <f> the angle it makeswith OX, its slope equals tan (/>, by ^ -52. Hence ,7„ tan (/> = l.r 77. The differential. Lot the function/(./) be represented bythe curve y=f(.r), and let / and <J be two neighboring pointsof the… … Fig. 124 The quantity f(^x)Lx is called the differential of y and isrepresented by the symbol dy. Accordingly dy=f(x)b*\ (1) 142 SLOPES AND AREAS This definition is true for all forms of the function/ (x) and isaccordingly true when y=f(x) = x. In this case/(V) = l, andformula (1) gives dx = Ax.…
Geometry, Analytic · Calculus
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