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50 Challenging Calculus Problems (Fully Solved)


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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 logarithmsthe chain rule, product rule, and quotient rulesecond derivatives (and beyond)applications such as related rates, extreme values, and optimizationlimits, including l’Hopital’s ruleantiderivatives of polynomials, trig functions, exponentials, and logarithmsdefinite and indefinite integralstechniques of integration, including substitution, trig sub, and integration by partsmultiple integralsnon-Cartesian coordinate systems

From the Publisher

sample problemsample problem

50 Challenging Calculus Problems (Fully Solved) by Chris McMullen, Ph.D.

Improve your calculus fluency by solving a variety of challenging calculus problems.Practice your calculus skills, including derivatives, integration techniques, limits, and more.Being confronted with many different types of problems out of the usual context helps to develop problem-solving skills.The full solution is included for every problem.The level of difficulty varies. After attempting a harder problem, reading the full solution will be instructive.

sample problemsample problem

Does this series converge or diverge?

Does this function increase or decrease as the series progresses? Does the initial value matter? Is there a convergence test for this series?

sample problemsample problem

Find the antiderivative.

Which technique of integration would help for this indefinite integral?

sample problemsample problem

Find the derivative.

This problem should be relatively straightforward.

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Number of Pages
257 125 234 151 112 173

Answer Key
Full solutions to all problems. Answers + some hints, solutions, and tips. Answers + some hints, solutions, and tips. Full solutions to every problem. Full solutions to every problem. Full solutions to every problem.

ISBN
1941691927 1941691382 1941691323 1941691242 1941691269 1941691374

Description
Challenge yourself with a variety of algebra problems that will make you think. The solutions are instructive. Comprehensive coverage of trig identities. Master logarithms and exponentials with in-depth coverage, including identities, the change of base formula, graphs, hyperbolic functions, applications, and even complex numbers. Build fluency by practicing essential calculus skills. Not just for the Einsteins of the world, anyone fluent with calculus can challenge their skills. Multivariable calculus and vector calculus.

Picture of Mathematical EquationsPicture of Mathematical Equations

Improve Your Math Fluency

Chris McMullen, Ph.D.

Learn math from a university instructor with over 20 years of teaching experience.

Build Essential Math Skills

Practice solving problems that build essential math skills.Check your answers at the back of the book to ensure that practice makes perfect. Develop Confidence

When you check your answer at the back of the book and discover that your solution is correct, this helps to build confidence.Fully solved examples and concise explanations help get you on the right path.

Find the subject that’s right for you. Arithmetic Prealgebra Algebra Geometry Trigonometry Logarithms Calculus Vector Calculus

Publisher ‏ : ‎ Zishka Publishing (September 2, 2018)
Language ‏ : ‎ English
Paperback ‏ : ‎ 112 pages
ISBN-10 ‏ : ‎ 1941691269
ISBN-13 ‏ : ‎ 978-1941691267
Item Weight ‏ : ‎ 2.31 pounds
Dimensions ‏ : ‎ 8 x 0.26 x 10 inches

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