1. The problem statement, all variables and given/known data I have been able to solve all the gradient problems when you are given the starting point, and the actual function. But I am getting caught up on this one which goes in reverse Suppose that the maximum rate of change of f at (1,-1) is 25 and it occurs in the direction of 3i ⃗-4j ⃗ b) Find ∇f at (1,-1). c) Find [itex] f_x [/itex](1,-1). d) Find [itex]f_y (1,-1) [/itex]. 2. Relevant equations Well I know that [itex]∇f* u = |∇f| [/itex] and I think we know that [itex] f_x^2 + f_y^2 = |∇f^2| [/itex] 3. The attempt at a solution Thus I set up the system of equations and solved the quadratic which resulted. However this seemed wrong to me, and I wanted to double check that what I attempted here was correct. Also it seemed like this question should have an easier way to come about a solution. Any guidance would be appreciated Thank you.