Applications(optimization problems)

This file covers applications of differentiation to optimization problems in single-variable calculus. For multivariable optimization, see Optimization(Multivariable).

See

• Optimization(Multivariable) - For multivariable optimization problems
• Applied Optimization - For numerical and applied optimization techniques
• Critical Points - For theory of extrema in single-variable functions

Exercises

1. Find global maximum and minimum of functions like $f(x) = \sin x - \cos x$ on $[0,2\pi]$, $f(x) = \frac{x}{x^2+1}$ on $[-2,3]$.