I need confirmation on these questions

Consider the function ay} 2 eye\". 1. Find the direction in which 3' increases most rapidly at the point (1, 1). What is the rate of change in that direction? 2. Find the derivative of f at the point {1, 1) in the direction of the vector (263,6). (Using the Jacobian) Assume that the valiables $,y,s,t are related by the system of nations m+y22:cs+t=1 3:2y42y3+y+33+2t3:2 1. State the condition such that the system is solvable for a: and y as functions of s and t. 2. Compute % at the point {15,3}, SJ) = {37, 6, 1,11)