微积分及其在商业、经济、生命科学及社会科学中的应用(英文版影印版)

. chapter 3 the derivative 131
3．1 rate of change and slope 132
3．2 limits 144
3．3 the derivative 162
3．4 derivatives of constants，power forms，and sums 175
3．5 derivatives of products and ouotients 189
3。6 chain rule：power form 197
3。7 marginal analysis in business and economics 204
important terms and symbols 216
summary of rules of differentiation 216
review exercise 217
group activity 1：minimal average cost 221
group activity 2：numerical differentiation on a graphing utility 222
chapter 4 graphing and optimization 225
4。1 continuity and graphs 226
4。2 first derivative and graphs 242
4。3 second derivative and graphs 259
4。4 curve sketching techniques：unified and extended 275
4。5 optimization；absolute maxima and minima 292
important terms and symbols 308
review exercise 309
group activity 1：maximizing profit 313
group activity 2：minimizing construction costs 313
chapt er 5 additional derivative topics 315
5。1 the constant e and continuous compound interest 315
5。2 derivatives of logarithmic and exponential functions 322
5。3 chain rule：general form 334
5。4 implicit differentiation 345
5。5 related rates 352
important telt／is and symbols 358
additional rules of differentiation 358
review exercise 358
group activity 1：elasticity ofdemand 360
group activity 2：point of diminishing returns 361
chapter 6 integration 363
6。1 antiderivatives and indefinite integrals 363
6。2 integration by substitution 378
6。3 differential equations；growth and decav 390
6。4 geometric—numeric introduction to the definite integral 401
6。5 definite integral as a limit of a sum；fundamental theorem of calculus 417
important terms and symbols 435
integration formulas and properties 436
review exercise 436
group activity 1：simpson"s rule 440
group activity 2：bell—shaped curves 443

chapter 7 additionalintegrationtopics 445
7．1 area between curves 445
7。2 applications in business and economics 456
7．3 integration by parts 4-69
7。4 integration using tables 477
important terms and symbols 484
review exercise 485
group activity 1：analysis of income concentration from rawdata 487
group activity 2：grain exchange 488
chapllier 8 multivariable caleulus 489
8。1 functions of several variables 489
8。2 partial derivatives 500
8。3 maxima and minima 509
8。4 maxima and minima using lagrange multipliers 518
8．5 method of least squares 528
8。6 double integrals over rectangular regions 539
important terms and symbols 549 ’
review exercise 550
group activity 1：city planning 553
group activity 2：numerical integration of multivariable functions 554
chapllier 9 trigonometric functions 557
9。1 trigonometric functions review 558
9．2 derivatives of trigonometric functions 566
9。3 integration of trigonometric functions 572
important terms and symbols 577
review exercise 578
group activity 1：seasonm business cycles 579
group activity 2：heating degree days 580
appendlxa basicalgebrareview 581
self-rest on basic algebra 581
a。1 sets 583
a。2 algebra and real numbers 589
a。3 operations on polynomials 596
a。4 factoring polynomials 603
a。5 operations on rational expressions 609
a。6 integer exponents and scientific notation 615
a。7 rational exponents and radicals 621
a。8 linear equations and inequalities in one variable 628
a。9 quadratic equations 638
appendlx b specialtopics 649
b。1 sequences．series．and sunlmation notation 649
b。2 arithmetic and geometric sequences 656
b．3 the binomial theorem 664
appendlxc tables 669
table i basic geometric formulas 669
table ii integration formulas 671
answers a1
index ii
library of elementary functions inside front cover
applications index inside back cover