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50 Challenging Calculus Problems



50 Challenging Calculus Problems PDF

Author: Chris McMullen

Publisher: Zishka Publishing

Genres:

Publish Date: September 2, 2018

ISBN-10: ‎1941691269

Pages: 112

File Type: Epub

Language: English

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Book Preface

These 50 challenging calculus problems involve applying a variety of calculus skills. The exercises come with a good range of difficulty from milder challenges to very hard problems. On the page following each problem you can find the full solution with explanations.

  • derivatives of polynomials, trig functions, exponentials, and logarithms
  • the chain rule, product rule, and quotient rule
  • second derivatives (and beyond)
  • applications such as related rates, extreme values, and optimization
  • limits, including l’Hopital’s rule
  • antiderivatives of polynomials, trig functions, exponentials, and logarithms
  • definite and indefinite integrals
  • techniques of integration, including substitution, trig sub, and integration by parts
  • multiple integrals
  • non-Cartesian coordinate systems

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