Consider the function f(x,y) = x* - x y + 4y~ + 3 and the point P( - 1,3). a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a vector that points in a direction of no change in the function at P. a. What is the unit vector in the direction of steepest ascent at P? 2 23 1533 V533 (Type exact answers, using radicals as needed.) What is the unit vector in the direction of steepest descent at P? (Type exact answers, using radicals as needed.)Compute the directional derivative of the following function at the given point P in the direction of the given vector. Be sure to use a unit vector for the direction vector. f(x.y) = In (6 +x2 +y?); P(- 1,1); (1,3) Find the gradient of f(x,y) = In (6 +x2 + y2 ). 2x 2y Vf(X,y) = 6+x2+yz 6 + x2 + 12 The directional derivative is]. (Type an exact answer, using radicals as needed.)Compute the gradient of the following function and evaluate it at the given point P. g(x y) = x2 - 6x2y - 9xy