PART 1 Tangent lines and Gradient Lines Step 1: Create a non-simple function z = f(x,y). By non-simple, l mean a function that has at least three terms: one degree 3 term and two term of mixed x and y variables. At least one coefficient must be negative Write your function below: f(x) Step 2: Pick a level plane, z k, and find the level curve that is the intersection of your function, fxy) and you plane z k. Write the expression for that level curve below Level curve: Step 3: Your level curve is an implicitly defined function (as we saw in Calcs I and I), Use the Chain Rule with partial derivatives (as we learned in class or as shown in the text) to find dy/dx for that implicitly defined function. (NOTE: I know you can find dy/dx using the techniques of Calcs or ll. I do not want that. Use the method we learned in this class using partial derivatives.) ãä¹ ãã¡
