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🌍

Calculus

· Real Life

🌍 Where You'll See This in Real Life

1

Physics

velocity, acceleration, force

Velocity is the derivative of position; acceleration is the derivative of velocity. Newton built mechanics from calculus.

2

Economics

marginal cost, profit maximisation

Marginal cost = derivative of total cost. Profit is maximised where marginal revenue = marginal cost.

3

Engineering

structural stress analysis

Stress, strain, fluid flow, heat transfer — every engineering equation involves derivatives or integrals.

4

Medicine

drug concentration over time

5

AI

gradient descent in neural networks

Gradient descent uses derivatives to train every neural network. Without calculus, modern AI does not exist.

6

Astronomy

orbital mechanics