1. The problem statement, all variables and given/known data The transformation f is defined by: R^2 --> R^2 and is defined by: f(x,y) = (y^5, x^3) Find the jacobi matrix and its determinant 2. Relevant equations f(x,y) = (y^5, x^3) 3. The attempt at a solution I would start by differentiating y^5 with respect to x and then y, then differentiate x^3 with respect to x and then y. I end up with: Df = (0.......... 5y^4 ) ........(3x^2...... 0 ) And from here I dont know what to do. Usually I would be told, that Df = (2,1) for example, and then I would place them instead of y and x, but here Im not given any other information than what I have written above. How do I find the determinant?