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50 Challenging Calculus Problems (Fully Solved)

De (autor): Chris Mcmullen

review Goodreads
50 Challenging Calculus Problems (Fully Solved) - Chris Mcmullen

50 Challenging Calculus Problems (Fully Solved)

De (autor): Chris Mcmullen

review Goodreads

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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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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