Question

Chapter 8, Section 8.4, Question 016 * Your answer is incorrect. Try again. Find all points where the partial derivatives of f(x, y) are both 0, where f(x, y) = 6x2 + 2y2 Input the points separated by ; below. For example: (-1,9); (2,3); (4,2) if there are three points, or (-1,-1) if there is only one point. The point(s) where the partial derivatives of f(x, y) are both are Q

Answer 1

2 given- f(x,y) = 6x²+2y2 we need to find all the points where both the poorticel derivatives of f(x,y) are zero- simply, we need to find Oitical points. of=128 JY put ob=0 JY Ja 4y=0 12X=0 Y=0 of=4Y ox Put of a 6 -0. 22=0 so we just have one vitical point- (0,0) The point where the partial derivatives of f(x,y) are both 2010 10,0)