Вопрос:

Please analyze the image and extract the mathematical expressions.

Ответ:

Mathematical Expressions:

  1. \( y' = (\ln \sin(4x))' \)
  2. \( = \frac{1}{4x-5} \)
  3. \( = \frac{4 \cos(4x)}{\sin(4x)} \)
  4. \( y = x^{10} - 3\sqrt{x} \)
  5. \( = \frac{5x^3 - 2x}{3} \)