Question

Найдите частные производные функции:

Answer 1

$Z= x^{3} +6xy^{2}-4y^{3} -2xy, \\ Z'_x=3x^2+6y^2-2y, \\ Z'_y=12xy-12y^2-2x.$

Answer 2

Finding Partial Derivatives of Functions

Here are the partial derivatives of the given functions:

1. Function 1: - Function: Unknown - Partial derivatives: Unknown 2. Function 2: - Function: Unknown - Partial derivatives: Unknown 3. Function 3: - Function: Unknown - Partial derivatives: Unknown 4. Function 4: - Function: Unknown - Partial derivatives: Unknown 5. Function 5: - Function: z = 2x^5 + 3x^2y + y^2/4x + 5y - 1 - Partial derivatives: - ∂z/∂x = 10x^4 + 6xy - y^2/4x^2 - ∂z/∂y = 3x^2 + 2y/4x + 5 - ∂z/∂z = 0 6. Function 6: - Function: Unknown - Partial derivatives: Unknown 7. Function 7: - Function: Unknown - Partial derivatives: Unknown 8. Function 8: - Function: Unknown - Partial derivatives: Unknown 9. Function 9: - Function: Unknown - Partial derivatives: Unknown 10. Function 10: - Function: Unknown - Partial derivatives: Unknown Please note that the specific functions and their partial derivatives were not provided in the search results.