50 Challenging Calculus Problems (Fully Solved) - Chris Mcmullen

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