Calculus Formulas
Essential calculus formulas including derivatives, integrals, limits, and series.
Area Between Curves
Formula for calculating the area between two curves using definite integrals, with vertical and horizontal methods.
Chain Rule
The chain rule for differentiating composite functions. Includes step-by-step examples with nested functions.
Derivative Rules
Complete reference of derivative rules including power rule, product rule, quotient rule, and chain rule with examples.
Integration Rules
Complete reference of integration formulas including power rule, substitution, and common integrals for calculus students.
Limit Properties and Rules
Essential limit laws, properties, and special limits used in calculus. Includes L'Hôpital's Rule and squeeze theorem.
Product and Quotient Rules
Formulas for differentiating products and quotients of functions. Includes worked examples for each rule.
Taylor and Maclaurin Series
Taylor series expansion formula with common Maclaurin series for e^x, sin(x), cos(x), ln(1+x), and the geometric series.
Volume of Revolution (Disk and Shell Methods)
Formulas for calculating volumes of solids of revolution using the disk method, washer method, and cylindrical shell method.