Question 1 Find the directional derivative of the function f(x, y) = In (x2 + y*) at the point (2, - 3) in the direction of the vector (1, 2)Question 2 Find the maximum rate of change of f(x, y, z) = tan(5x + 3y + 6z) at the point (4, - 4, 3)..Question3 VH, Find an equation for the tangent plane to the surface 22my3=0 at the point (4, 1, 2). :1 \f0 Question 5 ' , Suppose that m, y) = 9:2 + y2 at which 0 S m, y and 22: + 7y 5 6. 1. Absolute minimum of f(:c, y) is :] 2. absolute maximum of at, y) is :] . Question 6 Find and classify the critical points of z = (x2 - 8x) (2 - 5y) Local maximums: Local minimums: Saddle points: For each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. If there are no points for a classification, enter DNE