


How can you use calculus to solve real-world optimization problems?
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- What are subgradients and how are they used in non-smooth optimization?
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- Can a function have a critical point that is not a local extremum?
- Discuss some algorithms for non-smooth optimization.
- How do the roots of the derivative of a polynomial function relate to the critical points of the polynomial?
- State the formal definition of an absolute minimum.
- Give an example of an optimization problem involving a function of two variables.
- Consider the function f(x) = -x^4. What happens at its critical point x = 0? Is it a local extremum? Why or why not?
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- Examples simulated annealing, genetic algorithms, ant colony optimization.
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