Consider the Function $z = f ( x , y ) = 3 y - 4 x ^ { 3 }$

Short Answer

Consider the function $z = f ( x , y ) = 3 y - 4 x ^ { 3 }$ Suppose you are standing on the surface at the point where x = 3, y = 1.If you start to move on the surface parallel to the y-axis in the direction of increasing y, does your height increase or decrease?