The image contains a set of mathematical problems related to finding the extreme values of different functions. Each question involves a different polynomial expression, and the task is to find its extreme value.

Here are the problems listed in the image:

1. $f(X) = X^2 - 24X + 100$
2. $f(X) = 4X^2 + 40X + 10$
3. $f(X) = -3X^2 - 30X + 20$
4. $f(X) = -6X^2 + 180X + 1000$
5. $f(X) = X^3 + 6X^2 - 36X + 50$
6. $f(X) = X^3 - 12X^2 - 36X + 50$
7. $f(X) = X^3 + 3X^2 - 45X + 30$
8. $f(X) = X^3 - 9X^2 - 21X + 50$
9. $f(X) = X^3 - 18X^2 + 81X + 50$

To solve these, you would typically:

1. Find the derivative of each function, $f'(X)$.
2. Set the derivative equal to 0 to find the critical points.
3. Use the second derivative test or analyze the nature of the critical points to determine whether they represent maxima, minima, or points of inflection.
4. Calculate the function values at these critical points.

Would you like me to walk you through solving any specific problem from this set? Or do you want a detailed explanation for any one of the steps?