Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 sider |
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Side xii
... regard to Cubics , Points of Inflexion on a Cubic are Collinear , 248-253 254-256 • 256-257 • 257-258 CHAPTER X. CURVATURE . 265-266 Angle of Contingence . Average Curvature , 265-266 267-268 Curvature of a Circle . Radius of Curvature ...
... regard to Cubics , Points of Inflexion on a Cubic are Collinear , 248-253 254-256 • 256-257 • 257-258 CHAPTER X. CURVATURE . 265-266 Angle of Contingence . Average Curvature , 265-266 267-268 Curvature of a Circle . Radius of Curvature ...
Side 7
... a vanishing quantity ; for it can be made less than any assignable quantity by making Q move along the curve sufficiently close to P. 12. There are several important principles with regard to limits DEFINITIONS . LIMITS . 7.
... a vanishing quantity ; for it can be made less than any assignable quantity by making Q move along the curve sufficiently close to P. 12. There are several important principles with regard to limits DEFINITIONS . LIMITS . 7.
Side 8
... regard to limits which we shall continually require to use and which we may stay to enunciate here : - : - ( 1 ) The limit of the sum of a finite number of quantities is equal to the sum of their limits . ( 2 ) The limit of the product ...
... regard to limits which we shall continually require to use and which we may stay to enunciate here : - : - ( 1 ) The limit of the sum of a finite number of quantities is equal to the sum of their limits . ( 2 ) The limit of the product ...
Side 64
... sin ( log x ) } × b2sin2 ( log x ) 2x √a2 - b2cos2 ( log x ) 1 X Ex . 5. Differentiate 5 with regard to x2 . Let Then x2 = z . dx5 dx5 dx5 dx dx 5x4 dz dx dz dz 2x dx 512 Ex . 6. Given that x3 + y3 = 3axy 64 STANDARD FORMS .
... sin ( log x ) } × b2sin2 ( log x ) 2x √a2 - b2cos2 ( log x ) 1 X Ex . 5. Differentiate 5 with regard to x2 . Let Then x2 = z . dx5 dx5 dx5 dx dx 5x4 dz dx dz dz 2x dx 512 Ex . 6. Given that x3 + y3 = 3axy 64 STANDARD FORMS .
Side 67
... regard to a2 . Ꮳ 92. Differentiate ( x2 + ax + a2 ) " log cot with regard to tan - 1 ( a cos bx ) . 2 a + b tan 2 93. Differentiate log . with regard to XC a- - b tan 1 a2cos22 - b2sin2 -1 2 94. Differentiate with regard to sin ̈1x ...
... regard to a2 . Ꮳ 92. Differentiate ( x2 + ax + a2 ) " log cot with regard to tan - 1 ( a cos bx ) . 2 a + b tan 2 93. Differentiate log . with regard to XC a- - b tan 1 a2cos22 - b2sin2 -1 2 94. Differentiate with regard to sin ̈1x ...
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Differential Calculus with Applications and Numerous Examples: An Elementary ... Joseph Edwards Uten tilgangsbegrensning - 1886 |
Differential Calculus with Applications and Numerous Examples: An Elementary ... Joseph Edwards Uten tilgangsbegrensning - 1886 |
Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards Ingen forhåndsvisning tilgjengelig - 2006 |
Vanlige uttrykk og setninger
ALGEBRA angle Assistant-Master asymptote axis Cambridge cardioide centre chord circle co-ordinates coincident points conic Crown 8vo cusp cuts the curve cycloid denote differential coefficient dx dx dx dy dy dx ELEMENTARY ellipse envelope EXAMPLES Extra fcap fcap Fellow of Trinity Find function Globe 8vo Hence hyperbola independent variable infinite intersection intrinsic equation inverse John's College late Fellow limit LL.D locus MACMILLAN'S EDUCATIONAL CATALOGUE Mathematics maxima and minima minimum value negative normal ordinate origin Owens College p(x+h parabola parallel pedal equation perpendicular point of contact point of inflexion polar positive pedal PRIMER Professor prove quantity radius of curvature revised School Show straight line tangent Taylor's Theorem Trace the curve Trinity College ultimately coincident vanish whence zero ди ди ду дх Эф
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