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