How can I identify local and global minima in functions?

What are local and global minima in mathematical functions?

Local minima are points where a function's value is lower than at nearby points, while global minima is the lowest point overall.

How can I find these minima in a given function?

You can use techniques like calculus, specifically finding the derivative and setting it to zero, to locate critical points.

Are there any graphical methods to visualize these minima?

Yes, plotting the function can help visualize local and global minima, showing where the function dips.

What about using optimization algorithms?

Optimization algorithms like gradient descent can efficiently find local minima, especially in complex functions.