Assume that V (x, y) is a global Lyapunov function about the origin for the differentialequationdt/dx = f1(x, y)dt/dy = f2(x, y)

Find the derivative of the function f(x,y,z) = x² + 2y? – 3z? Po = (1,1,1) in the direction of at the point - v =.

draw the slope field for y' = x² – y², then use it to sketch three solution curves. %|

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 4yVx, (4, 1) maximum rate of change direction vector