A function is defined on R2 as: f(x,y)= 2x3 -6xy + 2xy2 +2 a) Find any critical/stationary points of the function f. b) Determines whether these points are local minimum, local maximum or saddle point. c) Find the gradient of the function f at the point (x,y)=(1,1). d) Find the directional derivative of f at the point (x,y)=(1,1) in the direction given by the vector v = [1,2]. e) Find a formula for the tangent plane to the function through the point (x,y,z)=(1,1,0). f) Use the formula for the tangent plane (linearizationa) at the point (x,y,z)=(1,1,0) to estimate f (1.1,0.8). g) Draw the graph of the function in Matlab for -4sx 4, -4sy4.