Differential calculus for beginners |
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Side 12
... result would be the same of whatever char- acter the surface be ; and suppose this surface , again for the same reason , to be bounded by straight lines— . say four . Then in one of the bounding lines we can take a larger number of ...
... result would be the same of whatever char- acter the surface be ; and suppose this surface , again for the same reason , to be bounded by straight lines— . say four . Then in one of the bounding lines we can take a larger number of ...
Side 23
... AB , since it will be represented by AB and BC ; or , from ( 1 ) , the limit of the ratio of a2-62 to a - b , when b ultimately becomes a , is equal to 24T or 2a . 19. This result might have been obtained thus : - DIFFERENTIAL CALCULUS .
... AB , since it will be represented by AB and BC ; or , from ( 1 ) , the limit of the ratio of a2-62 to a - b , when b ultimately becomes a , is equal to 24T or 2a . 19. This result might have been obtained thus : - DIFFERENTIAL CALCULUS .
Side 24
Alexander Knox (B.A.). 19. This result might have been obtained thus : - Let Then , when b = a - h . h = 0 , b = a . Substituting this value for b , we have a2 - b2 a2- ( a − h ) 2 = απ -b - a- ( a - h ) a2 - a2 + 2ah - h2 a - a + h 2ah ...
Alexander Knox (B.A.). 19. This result might have been obtained thus : - Let Then , when b = a - h . h = 0 , b = a . Substituting this value for b , we have a2 - b2 a2- ( a − h ) 2 = απ -b - a- ( a - h ) a2 - a2 + 2ah - h2 a - a + h 2ah ...
Side 38
... results of these four cases are Differential co - efficient of 12 = 2 × 1 , " " 99 22 = 2 × 2 , 99 وو " " " " 32 = 2 × 3 , 42 = 2 × 4 , and we notice that the differential co - efficient was obtained from the first difference by ...
... results of these four cases are Differential co - efficient of 12 = 2 × 1 , " " 99 22 = 2 × 2 , 99 وو " " " " 32 = 2 × 3 , 42 = 2 × 4 , and we notice that the differential co - efficient was obtained from the first difference by ...
Side 39
... results may be obtained independently from the first differential co - efficient ; for , as we have already seen ( Art . 26 ) , the differential co - efficient of nx , where x is the independent variable , = n . Therefore , if in ( a ) ...
... results may be obtained independently from the first differential co - efficient ; for , as we have already seen ( Art . 26 ) , the differential co - efficient of nx , where x is the independent variable , = n . Therefore , if in ( a ) ...
Vanlige uttrykk og setninger
A. W. VERRALL angle approximately ARITHMETIC Assistant-Master becomes BEGINNERS BOOK Cambridge CHEMISTRY circle Clifton College column Crown 8vo D.Sc dc₁ diminished Edited by Rev ELEMENTARY TREATISE ENGLISH EPISTLE Eton College Extra fcap FASNACHT Fellow of St Fellow of Trinity Find the differential function G. E. FASNACHT Globe 8vo GRAMMAR HISTORY incre increase uniformly increments of 001 independent variable Introduction and Notes J. P. MAHAFFY John's College King's College late Fellow LATIN Lecturer LL.D London Macmillan's Maps Mathematics maximum minimum Nature Series numerous Illustrations Owens College Oxford preparation quantity rate of increase rate of variation ratio receive small increments rectangles revised and enlarged School second differences second differential co-efficient Second Edition side space fallen square straight line successive values tangent third differential co-efficient tion Translated Trinity College ultimately University of Cambridge University of Glasgow velocity Vocabulary وو
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