Calculus
Derivatives
A derivative measures the instantaneous rate of change of a function.
Key Formulas
Power rule
Most common differentiation rule.
Product rule
For products of functions.
Chain rule
For composed functions.
Key Concepts
Power ruleProduct ruleQuotient ruleChain ruleImplicit differentiation
Worked Examples
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Limits
A limit describes the value a function approaches as the input approaches some value.
Integrals
Integration is the reverse of differentiation. It computes accumulated quantities and areas.
Differential Equations
A differential equation relates a function to its derivatives.
Series
A series is the sum of a sequence of terms. Taylor and Maclaurin series approximate functions.