engineering recuitment GATE CSE 2023-24 Test Series Engineering Mathematics Calculus Differentiability
Let r = x2 + y - z and z3 -xy + yz + y3 = 1. Assume that x and y are independent variables. At (x, y, z) = (2, -1, 1), the value (correct to two decimal places) of \(\frac{{\partial {\rm{r}}}}{{\partial {\rm{x}}}}{\rm{\;}}\) is _________ .
Enter numerical value using the virtual keypad. Round off where necessary.