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The image you uploaded contains five problems involving differentiation. Here's a breakdown of each problem along with their instructions:

1. \( y = (x^3 - 2x)^2 \)  
   **Task:** Find \( y'' \) (second derivative).

2. \( y = \frac{x}{x+1} \)  
   **Task:** Find \( y'' \).

3. \( y = \sqrt[3]{(1 + 2x)^2} \)  
   **Task:** Find \( y' \) (first derivative) and \( y'' \) (second derivative).

4. \( y = \sqrt{\frac{x^3}{1 - x^2}} \)  
   **Task:** Find \( y' \) and \( y'' \).

5. \( y = (x + 2)(2 - 1)^3 \)  
   **Task:** Find \( \frac{dy}{dx} \) and \( \frac{d^2y}{dx^2} \).

Let me know which problem you'd like me to solve first or if you'd like me to walk you through the solutions in detail!

Differentiate the following functions: 1) y = (x^3 - 2x)^2, 2) y = x / (x + 1), 3) y = (1 + 2x)^(2/3), 4) y = sqrt(x^3 / (1 - x^2)), 5) y = (x + 2)(2 - 1)^3.

Solve advanced differentiation problems involving the chain rule, product rule, and quotient rule. These problems include functions such as y = (x^3 - 2x)^2, y = sqrt(x^3 / (1 - x^2)), and others. Suitable for undergraduate calculus students.

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