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Derivatives & Differential Calculus

The rate of change. Derivatives measure how functions change and are central to understanding motion and optimization.

Developed by Isaac Newton

Key Concepts

  • Limits
  • Instantaneous rate of change
  • Power rule
  • Chain rule
  • Product rule
  • Optimization

Characteristic Equation

f'(x) = lim(h→0) [f(x+h) - f(x)]/h

Further Reading

Calculus - Encyclopedia Britannica