Let fx y 3xx32y2y4on the domain D x y 5
Let f(x, y) = 3x-x^3-2y^2+y^4...on the domain D = {(x, y)| -5<=x<= 5, -2<=y <=2}.
Find greatest value for gradient
Find greatest value for gradient
Solution
gradient = df/dx = 3-2x^2 ;
 as x2 is always positive and the term is in -ve symbol;
gratesrt value occours at x= 0;
so highest value of gradient = 3

