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Derivatives Basics
Rate of change
A derivative gives the instantaneous rate of change of a function, computed via limits or rules, and used to find slopes, optimize, and model change.
- derivative
- slope
- rate of change
- limits
- optimization
Define
Derivative is limit of change in output over change in input.
Compute
Use power/product/chain rules or basic limits.
Apply
Find slopes, optimize maxima/minima, and model dynamics.