Calculus

Study of continuous change through derivatives and integrals.

Limits and ContinuityDerivatives and Rates of ChangeIntegrals and Area Under Curves
Applications of DerivativesTechniques of IntegrationInfinite Series and Convergence
Modeling MotionEconomics and OptimizationBiology and Population Growth
Breaking Down ProblemsMemorizing Key FormulasChecking Your Work
Limits and Continuit...Derivatives and Rate...Integrals and Area U...Applications of Deri...Techniques of Integr...Infinite Series and ...Modeling MotionEconomics and Optimi...Biology and Populati...Breaking Down Proble...Memorizing Key Formu...Checking Your Work
Practical Applications

Economics and Optimization

Making Smart Choices with Calculus

Businesses and economists use calculus to maximize profits and minimize costs. Derivatives help find optimal pricing, production levels, and investment strategies.

  • Profit Maximization: Find where the rate of profit increase is zero.
  • Resource Allocation: Allocate resources for maximum efficiency.
  • Cost Minimization: Design products with minimal material for given constraints.

Calculus is a powerful decision-making tool in economics, business, and everyday life!

Examples

  • A company uses derivatives to set the price that maximizes profit.

  • Minimizing the material used to make a soda can for a fixed volume using calculus.

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Biology and Population Growth