Well it's i component is going to be 1 the partial of u with respect to u is 1 so it's i component is 1 , it's j component is going to be zero partial of v with respect to u is zero , v doesnt change with respect to u , so this is going to be 0 , partial of (there have to be brackets around here partial of this with respect to u is just going to be 1 again , this is the partial of v squared respect to u is just zero , so this is just 1 again and then r sub v the partial of r with respect to v , the i component is going to be zero j component is going to be 1 and the partial of u plus v squared is going to be 2v , so this is pretty straight forward determinant so lets try to evaluate , so i component i so we cross this column and this row , so this be 0 times 2v minus 1 times 1 , so essentially it is just going to be negative 1 times i so we are going to have negative i this is equal to negative i and then the j component we have to put a negative out front.
จะเป็น 1 อนุพันธ์ย่อยของ u เทียบกับ u เป็น 1 มันก็มีองค์ประกอบ i เป็น 1, องค์ประกอบ j จะเป็นศูนย์