Differential Calculus: With Applications and Numerous Examples; an Elementary TreatiseMacmillan, 1886 - 439 páginas |
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Página x
... Differential Equation , 101-103 114-119 Continuity and Discontinuity , . 104-107 120 Lagrange - Formula for Remainder ... Differential and Total Differential Coefficient , 132-134 ARTS . 145 Differentiation of an Implicit Function , 146 ...
... Differential Equation , 101-103 114-119 Continuity and Discontinuity , . 104-107 120 Lagrange - Formula for Remainder ... Differential and Total Differential Coefficient , 132-134 ARTS . 145 Differentiation of an Implicit Function , 146 ...
Página xi
... Differential Coefficient of an Implicit Function , 138-139 An Illustrative Process , 153 154-155 An Important Theorem , 141 141-143 156-160 Extensions of Taylor's and Maclaurin's Theorems , 161-168 Homogeneous Functions . Euler's ...
... Differential Coefficient of an Implicit Function , 138-139 An Illustrative Process , 153 154-155 An Important Theorem , 141 141-143 156-160 Extensions of Taylor's and Maclaurin's Theorems , 161-168 Homogeneous Functions . Euler's ...
Página 30
... DIFFERENTIAL COEFFICIENT . Let p ( x ) denote any function of x , and p ( x + h ) the same function of x + h ; then Lth = 0 p ( x + h ) − p ( x ) h is called the FIRST DERIVED FUNCTION or DIFFERENTIAL CO- EFFICIENT of p ( x ) with ...
... DIFFERENTIAL COEFFICIENT . Let p ( x ) denote any function of x , and p ( x + h ) the same function of x + h ; then Lth = 0 p ( x + h ) − p ( x ) h is called the FIRST DERIVED FUNCTION or DIFFERENTIAL CO- EFFICIENT of p ( x ) with ...
Página 31
... differential coefficient of any proposed function by investigating the value of the above limit ; but it will be seen later on that , by means of certain rules and a knowledge of the differential coefficients of certain standard forms ...
... differential coefficient of any proposed function by investigating the value of the above limit ; but it will be seen later on that , by means of certain rules and a knowledge of the differential coefficients of certain standard forms ...
Página 32
... differential coefficient of sin ̈1 . In Fig . 11 let and AOP = sin - 1x , AÛQ = sin - 1 ( x + h ) . Then , with the same construction as before , MP = x , NQ = x + h , therefore RQ = h . Hence Lth - o sin - 1 ( x + h ) - sin - 1æ ...
... differential coefficient of sin ̈1 . In Fig . 11 let and AOP = sin - 1x , AÛQ = sin - 1 ( x + h ) . Then , with the same construction as before , MP = x , NQ = x + h , therefore RQ = h . Hence Lth - o sin - 1 ( x + h ) - sin - 1æ ...
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Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards Sin vista previa disponible - 2006 |
Términos y frases comunes
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 independent variable infinite intersection intrinsic equation inverse John's College late Fellow limit LL.D locus MACMILLAN'S EDUCATIONAL CATALOGUE 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
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