Calculus

Limits, derivatives, the chain rule and integrals, starting from what each one means before the rules. Worked examples use polynomials first, then build up.

All study guides

  • The Chain Rule

    How the chain rule works, how to spot the inside and outside functions, examples with powers, roots, trig, e^x and ln, and mixing it with the product rule.

  • How to Find a Limit

    What a limit means, how to evaluate one by substitution, factoring and rationalizing, one-sided limits, limits at infinity, and continuity, with examples.

  • Integrals for Beginners

    What an integral means, the basic integration rules, definite integrals and area, the Fundamental Theorem of Calculus, and u-substitution, with examples.

  • Derivatives for Beginners

    What a derivative measures, the limit definition, the power, product, quotient and chain rules, tangent lines and motion problems, with worked examples.