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I see the math problems from the image you've uploaded. Let's break them down and address each part carefully.

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### Câu 1: Cho hàm số \( y = x^3 - 3x + 2 \)

1. **(a)** Tính đạo hàm của hàm số \( y \):
   - \( y' = 3x^2 - 3 \)

2. **(b)** Tìm khi nào \( y' = 0 \):
   - \( y' = 3x^2 - 3 = 0 \)
   - \( x^2 = 1 \)
   - \( x = -1 \) và \( x = 1 \)

3. **(c)** Xét dấu của \( y' \):
   - \( y' > 0 \) khi \( x \in (-1; 1) \)
   - \( y' < 0 \) khi \( x \in (-\infty; -1) \cup (1; +\infty) \)

4. **(d)** Giá trị cực đại của hàm số:
   - Để tính giá trị cực đại, ta thay \( x = -1 \) vào hàm gốc \( y = x^3 - 3x + 2 \):
   - \( y(-1) = (-1)^3 - 3(-1) + 2 = 0 \)
   - Do đó, giá trị cực đại là \( f_{\text{CD}} = 0 \).

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### Câu 2: Cho hàm số \( y = 2x^3 - 5x^2 - 24x - 18 \)

1. **(a)** Hàm số có hai cực trị.

2. **(b)** Tính giá trị cực đại tại \( x = -\frac{4}{3} \):
   - Thay \( x = -\frac{4}{3} \) vào hàm số \( y = 2x^3 - 5x^2 - 24x - 18 \):
   - \( y\left(-\frac{4}{3}\right) = \frac{10}{27} \)

3. **(c)** Hàm số đồng biến trong khoảng \( (3; +\infty) \).

4. **(d)** Hàm số đồng biến trong khoảng \( \left( -\frac{4}{3}; 3 \right) \).

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Let me know if you'd like more details on any part of these solutions or if you'd like help with other math problems!

Here are some follow-up questions based on this topic:

1. What are the conditions for a function to have an extremum?
2. How do you determine whether a critical point is a maximum or minimum?
3. What is the significance of intervals where the derivative is positive or negative?
4. How can you find inflection points in a cubic function?
5. What are the necessary steps to analyze a function's behavior (increasing/decreasing intervals)?

**Tip:** Always check the second derivative to confirm the nature of critical points (maximum or minimum) when analyzing a function.

Solve the following problems: Câu 1: y = x^3 - 3x + 2. Câu 2: y = 2x^3 - 5x^2 - 24x - 18.

Learn how to find the derivative of cubic functions and determine their critical points, maximum, and minimum values. Explore increasing/decreasing intervals for y = x^3 - 3x + 2 and y = 2x^3 - 5x^2 - 24x - 18. Suitable for high school students studying calculus.

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