50 Challenging Calculus Problems Fully Solved by Chris McMullen

50 Challenging Calculus Problems Fully Solved by Chris McMullen

50 Challenging Calculus Problems Fully Solved by Chris McMullen

About the Book

These challenging math problems will require you to apply a range of math skills. These exercises provide the ability to tackle a variety of difficulties from easy to difficult ones.

On the page that follows each challenge, you can see the full solution and 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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