Math 227 008 Final Exam Dec. 8, 2014 7. The dependence diagram involving several
ID: 2839513 • Letter: M
Question
Math 227 008 Final Exam Dec. 8, 2014 7. The dependence diagram involving several variables is as shown below. t is given as a function of x , y, and z , and those variables are given as functions of u and v . Write down the chain rule for computing the partial derivative at Partialt/partialu. 8. The following values are given for a function f (x, y) and its derivatives: f(1,2) = 22 fx(1,2) = 0 fy(1,2) = 0 fxx,(1, 2) = 7 fyy(1, 2) = 4 fxy(1, 2) = 5 What is the nature of the point (1,2,22) on the surface z = f (x, y) ? (a) (1,2,22) is a local maximum. (b) (1,2,22) is a local minimum. (c) (1,2,22) is a saddle point. (d) (1,2,22) is not a local minimum, a local maximum, or a saddle point.Explanation / Answer
Answer:
It is a local minimum.