Optimization in Calculus

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Quarter 3 Week 7 - 8
1. illustrate the extreme value theorem
2. solve optimization problems that yield polynomial functions
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Thank you for the great video Ma'am 🥰 Ma'am can you please help me solve this optimization problem.

"Find a positive number such that the difference of the number and it's reciprocal is large as possible"

Ma'am the x value that I got is -i and i (imaginary number). I don't know if any of these x values can be considered as a positive number (if ever this is correct). Please ma'am help me with this problem 🙏

baifernv