Thank you for uploading the image of the questions. I'll work on providing the solutions step-by-step for the problems. Let me know which specific part you'd like to start with, or if you'd like me to go through them sequentially. For now, I'll outline the solution methods for all three sections.

Section 1: Using the Product and Quotient Rules

For each problem:

• Use the product rule: $(uv)' = u'v + uv'$
• Use the quotient rule: $\left(\frac{u}{v}\right)' = \frac{u'v - uv'}{v^2}$
• Simplify the derivatives.

Section 2: Using the Chain Rule

For these problems:

• Apply the chain rule: $\frac{d}{dx}f(g(x)) = f'(g(x))g'(x)$
• Recognize nested functions and differentiate layer by layer.

Section 3: Combining Rules

These problems require multiple rules:

• Combine product, quotient, and chain rules as necessary.
• Simplify each derivative step-by-step to handle increasing complexity.

Would you like me to begin solving any specific question or proceed in order?