50 Challenging Calculus Problems (Fully Solved)

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, in...