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Worldwide Differential Calculus 1st edition

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David B. Massey
Publisher: Worldwide Center of Mathematics

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Table of Contents

  • Chapter 1: Rates of Change and the Derivative
    • 1.1: Average Rates of Change (4)
    • 1.2: Prelude to IROC's (15)
    • 1.3: Limits and Continuity (309)
    • 1.4: IROC's and the Derivative (129)
    • 1.5: Extrema and the Mean Value Theorem (114)
    • 1.6: Higher-Order Derivatives (96)

  • Chapter 2: Basic Rules for Calculating Derivatives
    • 2.1: The Power Rule and Linearity (22)
    • 2.2: The Product and Quotient Rules (59)
    • 2.3: The Chain Rule and Inverse Functions (82)
    • 2.4: The Exponential Function (34)
    • 2.5: The Natural Logarithm (24)
    • 2.6: General Exponential and Logarithmic Functions (79)
    • 2.7: Trigonometric Functions: Sine and Cosine (8)
    • 2.8: The Other Trigonometric Functions (81)
    • 2.9: Inverse Trig Functions (29)
    • 2.10: Implicit Functions (60)

  • Chapter 3: Applications of Differentiation
    • 3.1: Related Rates (29)
    • 3.2: Graphing (51)
    • 3.3: Optimization (32)
    • 3.4: Linear Approximation (87)
    • 3.5: l'Hôpital's Rule (76)

  • Chapter 4: Anti-differentiation & Differential Equations
    • 4.1: What is a Differential Equation? (31)
    • 4.2: Anti-derivatives (47)
    • 4.3: Separable Differential Equations (31)
    • 4.4: Applications of Differential Equations (56)
    • 4.5: Approximating Solutions (12)

  • Chapter A: Appendix: Parameterized Curves and Motion
    • A.1: Parameterized Curves (33)

Intended for use in a beginning Calculus course, Worldwide Differential Calculus is designed to be more effective and affordable for students. The book is written by Dr. David Massey, an award-winning teacher and world-renowned research mathematician, who has been teaching college students for over 25 years. He emphasizes intuitive ideas in conjunction with rigorous statements of theorems, and provides a large number of illustrative examples. The digital version of the book also contains a host of new features right in the text, including:

  • Full-length video lectures at the beginning of each section
  • Step-by-step video solutions to select problems at the end of each section
  • Applicable sections of the text linked to individual questions
  • Hyperlinked cross-references for easy navigation
  • Animated and interactive graphs

Available either as an eBook or in print from the Worldwide Center of Mathematics, Worldwide Differential Calculus provides an affordable and accessible experience for students, and is now supported by WebAssign, the leading independent provider of online homework and assessment.

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Chapter A: Appendix: Parameterized Curves and Motion
A.1 33 501a.XP 501b.XP 501c.XP.Tut 501d.XP 501e.XP 501f.XP 502a.XP.Tut 502b.XP.Tut 502c.XP 502d.XP 502e.XP 502f.XP 502g.XP 502h.XP.Tut 502i.XP 502j.XP.Tut 502k.XP 503a.XP.Tut 503b.XP 503c.XP 503d.XP.Tut 503e.XP 503f.XP 503g.XP 503h.XP 503i.XP 503j.XP 503k.XP 503l.XP.Tut 503m.XP.Tut 503n.XP 503o.XP 503p.XP 504a.XP 505a.XP 506a.XP 506b.XP 507a.XP 507b.XP 507c.XP
Chapter 1: Rates of Change and the Derivative
1.1 4 501a.XP 501b.XP 502a.XP 502b.XP
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1.3 309 501a.XP 501b.XP 501c.XP.Tut 502a.XP 502b.XP 502c.XP 502d.XP 502e.XP.Tut 502f.XP.Tut 502g.XP 503a.XP 503b.XP 503c.XP 503d.XP 503e.XP 503f.XP 503g.XP 504a.XP 504b.XP 504c.XP 504d.XP 504e.XP 504f.XP 505a.XP 505b.XP 505c.XP 506a.XP 506b.XP 506c.XP 506d.XP.Tut 506e.XP 507a.XP.Tut 507b.XP 507c.XP 507d.XP 507e.XP 507f.XP 508a.XP 508b.XP 508c.XP 508d.XP 508e.XP 508f.XP 509a.XP 509b.XP.Tut 509c.XP 509d.XP 509e.XP.Tut 509f.XP 510a.XP 510b.XP 510c.XP.Tut 510d.XP 510e.XP 511a.XP 511b.XP 511c.XP 511d.XP 511e.XP.Tut 511f.XP 511g.XP 512a.XP 512b.XP 513a.XP 513b.XP 513c.XP 514a.XP 514b.XP 514c.XP 514d.XP 514e.XP 514f.XP 515a.XP 515b.XP 515c.XP 515d.XP.Tut 515e.XP.Tut 516a.XP 516b.XP 516c.XP 517a.XP.Tut 517b.XP 517c.XP 517d.XP 517e.XP.Tut 517f.XP 517g.XP 517h.XP.Tut 517i.XP 517j.XP 517k.XP 517l.XP 517m.XP 517n.XP 517o.XP 517p.XP 518a.XP 518b.XP 518c.XP 519a.XP 519b.XP 519c.XP 519d.XP 519e.XP 519f.XP 519g.XP 519h.XP 519i.XP 519j.XP 520a.XP 520b.XP 520c.XP 520d.XP 520e.XP 520f.XP 520g.XP 520h.XP 520i.XP 520j.XP 521a.XP 521b.XP 521c.XP.Tut 521d.XP 522a.XP 522b.XP 522c.XP 522d.XP 522e.XP 523a.XP 523b.XP 523c.XP 524a.XP 524b.XP 524c.XP 525a.XP 525b.XP 525c.XP 526a.XP 526b.XP 526c.XP 527a.XP 527b.XP 527c.XP.Tut 528a.XP 528b.XP 528c.XP 528d.XP 528e.XP 529a.XP 529b.XP 529c.XP 530a.XP 530b.XP 530c.XP 530d.XP 530e.XP 530f.XP 531a.XP 531b.XP 531c.XP 531d.XP 532a.XP 532b.XP 532c.XP 532d.XP 532e.XP 532f.XP.Tut 533a.XP 533b.XP 533c.XP 534a.XP 534b.XP 534c.XP 535a.XP.Tut 535b.XP.Tut 535c.XP 536a.XP 536b.XP 536c.XP 536d.XP 537a.XP 537b.XP 537c.XP 537d.XP.Tut 537e.XP 538a.XP.Tut 538b.XP 538c.XP 539a.XP.Tut 539b.XP 539c.XP 539d.XP 539e.XP 540a.XP 540b.XP 540c.XP 541a.XP 541b.XP 541c.XP 542a.XP 542b.XP 542c.XP 543a.XP 543b.XP 543c.XP 544a.XP 544b.XP 544c.XP.Tut 544d.XP 544e.XP 545a.XP 545b.XP 545c.XP 546a.XP 546b.XP 546c.XP 546d.XP 546e.XP.Tut 546f.XP 546g.XP 546h.XP 546i.XP 547a.XP 547b.XP 547c.XP.Tut 547d.XP 547e.XP 548a.XP 548b.XP.Tut 548c.XP 549a.XP 549b.XP 549c.XP 549d.XP 550a.XP 550b.XP 550c.XP 550d.XP 550e.XP 551a.XP.Tut 551b.XP.Tut 551c.XP 551d.XP 551e.XP 551f.XP 551g.XP 551h.XP 551i.XP 552a.XP 552b.XP 552c.XP 552d.XP 552e.XP.Tut 552f.XP 552g.XP 553a.XP 553b.XP.Tut 553c.XP 553d.XP 553e.XP 553f.XP 553g.XP.Tut 553h.XP 553i.XP 553j.XP 553k.XP 553l.XP 553m.XP 553n.XP 553o.XP 553p.XP 554a.XP 554b.XP 554c.XP 554d.XP 554e.XP 555a.XP 555b.XP 555c.XP.Tut 555d.XP 556a.XP 556b.XP 556c.XP 556d.XP 556e.XP 556f.XP 556g.XP 556h.XP 557a.XP 557b.XP 557c.XP 558a.XP 558b.XP 558c.XP 559a.XP 559b.XP 559c.XP 560a.XP 560b.XP 560c.XP 561a.XP 561b.XP 561c.XP 562a.XP 562b.XP 562c.XP.Tut 563a.XP 563b.XP 563c.XP 564a.XP 564b.XP 564c.XP 565a.XP 565b.XP 565c.XP 566a.XP 566b.XP 566c.XP 566d.XP 566e.XP 566f.XP 566g.XP 566h.XP 566i.XP 566j.XP 566k.XP 566l.XP 566m.XP 566n.XP 566o.XP 566p.XP 566q.XP
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1.6 96 501a.XP 501b.XP 501c.XP 502a.XP 502b.XP 502c.XP 503a.XP 503b.XP 504a.XP 504b.XP 504c.XP 505a.XP 505b.XP 506a.XP 506b.XP 506c.XP 506d.XP 506e.XP 506f.XP 507a.XP 507b.XP 507c.XP 507d.XP.Tut 507e.XP 507f.XP.Tut 508a.XP 508b.XP 508c.XP 509a.XP 509b.XP 509c.XP 509d.XP 510a.XP 510b.XP 510c.XP 511a.XP 511b.XP 511c.XP 511d.XP 511e.XP.Tut 511f.XP 512a.XP 512b.XP 512c.XP 513a.XP 513b.XP 513c.XP 513d.XP 513e.XP 513f.XP 513g.XP 514a.XP 514b.XP 514c.XP 515a.XP 515b.XP 515c.XP 516a.XP 516b.XP 516c.XP 517a.XP.Tut 517b.XP.Tut 517c.XP 517d.XP 517e.XP 517f.XP.Tut 517g.XP 517h.XP 517i.XP 517j.XP 517k.XP 517l.XP 517m.XP 517n.XP 518a.XP.Tut 519a.XP 519b.XP 519c.XP 520a.XP 521a.XP 522a.XP 522b.XP 523a.XP 523b.XP 523c.XP 524a.XP 524b.XP 524c.XP 525a.XP 525b.XP 525c.XP 525d.XP 525e.XP 525f.XP 525g.XP 525h.XP
Chapter 2: Basic Rules for Calculating Derivatives
2.1 22 501a.XP 501b.XP 501c.XP 501d.XP 502a.XP 502b.XP 502c.XP 503a.XP 503b.XP 504a.XP 504b.XP 504c.XP 505a.XP 505b.XP 505c.XP 506a.XP 506b.XP 506c.XP 507a.XP 507b.XP 507c.XP 508a.XP
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2.3 82 501a.XP 501b.XP 501c.XP 502a.XP.Tut 502b.XP 502c.XP 502d.XP 503a.XP 503b.XP 503c.XP 504a.XP 504b.XP 504c.XP 505a.XP.Tut 505b.XP.Tut 505c.XP 506a.XP.Tut 506b.XP.Tut 506c.XP 506d.XP 506e.XP 506f.XP 507a.XP 507b.XP 507c.XP 508a.XP 508b.XP 508c.XP 509a.XP 509b.XP 509c.XP 510a.XP 510b.XP 510c.XP 511a.XP.Tut 511b.XP 511c.XP 512a.XP 512b.XP 512c.XP 513a.XP 513b.XP 513c.XP 514a.XP 514b.XP 514c.XP 515a.XP 515b.XP 515c.XP.Tut 516a.XP 516b.XP 516c.XP 517a.XP 517b.XP 517c.XP 518a.XP 518b.XP 518c.XP 519a.XP 519b.XP 519c.XP 520a.XP 520b.XP 520c.XP 521a.XP 521b.XP 521c.XP 522a.XP 522b.XP 522c.XP 522d.XP 523a.XP 523b.XP 523c.XP 523d.XP 524a.XP 524b.XP 524c.XP 525a.XP 525b.XP 525c.XP 525d.XP
2.4 34 501a.XP 501b.XP 501c.XP 501d.XP 501e.XP 502a.XP 502b.XP 502c.XP 503a.XP 503b.XP 503c.XP.Tut 503d.XP 503e.XP 503f.XP 504a.XP.Tut 504b.XP.Tut 504c.XP 504d.XP 504e.XP 504f.XP.Tut 504g.XP 505a.XP 505b.XP 505c.XP.Tut 505d.XP.Tut 506a.XP 506b.XP 506c.XP 506d.XP 506e.XP 506f.XP 507a.XP 507b.XP 508a.XP
2.5 24 501a.XP 501b.XP 501c.XP.Tut 501d.XP 501e.XP 501f.XP.Tut 502a.XP 502b.XP.Tut 502c.XP 502d.XP 502e.XP 502f.XP 503a.XP 503b.XP 503c.XP 504a.XP 504b.XP 504c.XP 505a.XP 505b.XP 505c.XP 506a.XP 506b.XP 506c.XP
2.6 79 501a.XP.Tut 502a.XP 502b.XP 502c.XP 503a.XP 503b.XP 503c.XP 504a.XP.Tut 504b.XP 504c.XP 504d.XP 504e.XP 504f.XP 505a.XP 505b.XP 505c.XP.Tut 506a.XP 506b.XP 506c.XP 507a.XP 507b.XP 507c.XP 508a.XP 508b.XP 508c.XP 509a.XP.Tut 509b.XP.Tut 509c.XP 510a.XP 510b.XP 511a.XP 511b.XP 511c.XP 511d.XP 511e.XP 511f.XP 511g.XP 511h.XP 511i.XP 511j.XP.Tut 511k.XP 511l.XP.Tut 511m.XP.Tut 511n.XP 511o.XP 511p.XP 511q.XP.Tut 511r.XP 511s.XP 511t.XP 511u.XP 512a.XP 512b.XP 512c.XP 513a.XP 513b.XP 513c.XP 514a.XP 514b.XP 514c.XP 515a.XP 515b.XP 515c.XP.Tut 515d.XP 515e.XP 515f.XP 515g.XP 515h.XP 515i.XP 516a.XP 516b.XP 516c.XP 517a.XP 517b.XP 517c.XP 518a.XP 518b.XP 518c.XP 519a.XP
2.7 8 501a.XP 501b.XP 501c.XP 502a.XP 502b.XP 502c.XP 503a.XP 503b.XP
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Chapter 3: Applications of Differentiation
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3.4 87 501a.XP 501b.XP 501c.XP 501d.XP 501e.XP 501f.XP 502a.XP 502b.XP 502c.XP 502d.XP 502e.XP 503a.XP 503b.XP 503c.XP.Tut 503d.XP 504a.XP 504b.XP 505a.XP 505b.XP 505c.XP 505d.XP 506a.XP 506b.XP 507a.XP 507b.XP 507c.XP 508a.XP.Tut 508b.XP 508c.XP 508d.XP 508e.XP.Tut 508f.XP.Tut 508g.XP 508h.XP 508i.XP 508j.XP 509a.XP 509b.XP 509c.XP 509d.XP 509e.XP.Tut 509f.XP 509g.XP.Tut 509h.XP 510a.XP 510b.XP 510c.XP 511a.XP 511b.XP 511c.XP 512a.XP 512b.XP 512c.XP 513a.XP 513b.XP 513c.XP.Tut 513d.XP 513e.XP 513f.XP 513g.XP 513h.XP 514a.XP 514b.XP 514c.XP.Tut 514d.XP.Tut 514e.XP 514f.XP 514g.XP 515a.XP 515b.XP 515c.XP.Tut 515d.XP 515e.XP 516a.XP 516b.XP 516c.XP 516d.XP 516e.XP 516f.XP 516g.XP 516h.XP 517a.XP 517b.XP 517c.XP 518a.XP 518b.XP 518c.XP
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Chapter 4: Anti-differentiation & Differential Equations
4.1 31 501a.XP 501b.XP 501c.XP 501d.XP 502a.XP.Tut 502b.XP 502c.XP 502d.XP 502e.XP.Tut 502f.XP 502g.XP 502h.XP 503a.XP 503b.XP 503c.XP.Tut 503d.XP 504a.XP 504b.XP 504c.XP 504d.XP 504e.XP 504f.XP.Tut 504g.XP.Tut 505a.XP 505b.XP 505c.XP 505d.XP.Tut 505e.XP 505f.XP 505g.XP.Tut 505h.XP.Tut
4.2 47 501a.XP 501b.XP 501c.XP.Tut 502a.XP 502b.XP 502c.XP 503a.XP 503b.XP 503c.XP 503d.XP 503e.XP 503f.XP 503g.XP.Tut 504a.XP 505a.XP 506a.XP 507a.XP 507b.XP 507c.XP 508a.XP 508b.XP 508c.XP.Tut 508d.XP 508e.XP 508f.XP 508g.XP 508h.XP 509a.XP.Tut 509b.XP.Tut 509c.XP 509d.XP 510a.XP 510b.XP 511a.XP.Tut 511b.XP 511c.XP.Tut 511d.XP 511e.XP 511f.XP 511g.XP 512a.XP.Tut 512b.XP 512c.XP 513a.XP 513b.XP 513c.XP 514a.XP 514b.XP
4.3 31 501a.XP 501b.XP 501c.XP 501d.XP.Tut 501e.XP.Tut 501f.XP 501g.XP 501h.XP 501i.XP 501j.XP 501k.XP 501l.XP 501m.XP 501n.XP 501o.XP 501p.XP 501q.XP.Tut 501r.XP.Tut 502a.XP 502b.XP 502c.XP 502d.XP 502e.XP.Tut 502f.XP 503a.XP 503b.XP 503c.XP.Tut 503d.XP 503e.XP 503f.XP 503g.XP 503h.XP.Tut
4.4 56 501a.XP 501b.XP 502a.XP 502b.XP 502c.XP 502d.XP.Tut 503a.XP 503b.XP 503c.XP.Tut 504a.XP 504b.XP 504c.XP 505a.XP 505b.XP 505c.XP 506a.XP 506b.XP 506c.XP 507a.XP 507b.XP 507c.XP 507d.XP 507e.XP 507f.XP 507g.XP 507h.XP.Tut 507i.XP.Tut 507j.XP 507k.XP 507l.XP 507m.XP 507n.XP.Tut 507o.XP 508a.XP 508b.XP.Tut 508c.XP.Tut 509a.XP 509b.XP 509c.XP 509d.XP 510a.XP 510b.XP 510c.XP.Tut 510d.XP.Tut 511a.XP 511b.XP 511c.XP 511d.XP 512a.XP 512b.XP 512c.XP 512d.XP 512e.XP.Tut 512f.XP 512g.XP 512h.XP.Tut 512i.XP.Tut 513a.XP 513b.XP 513c.XP 514a.XP 514b.XP 514c.XP
4.5 12 501a.XP 501b.XP.Tut 501c.XP 501d.XP 501e.XP 501f.XP 502a.XP 502b.XP 502c.XP 502d.XP.Tut 502e.XP 502f.XP.Tut
 Chapter 5
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