Find the maximum and minimum values z = 2x y subject to the constraints CHIC TUNICLISTI

Show that the minimum value for the function f(x) = x^2 + 4x -21 happens when x = -2

find the local maximum value of the function xy-x^2-y^2-2x-2y+4

Find the stationary points f(x) = - (2x^3/3) + x^2/2 + 45x + 1 and determine the nature of the stationary point in each case. For each point, state the x-coordinate of the stationary point and then select the nature of it: local maximum, point of inflection or local minimum.

Evaluate W(3,-1) for the function W(x,y) = 4x^2 + y^2

Suppose f(x)=-16002x^4+3201x^3-20578x^2+4017x+15 a.What is the “end behavior” of this function? That is, what happens to the y-values as x goes to infinity, and as x goes to negative infinity? b. What are the maximum possible number of x-intercepts of the function? c.what are the maximum possible number of turning points for the function?

Suppose you find the linear approximation to a differentiablefunction at a local maximum of that function. Describe the graphof the linear approximation.