Tutorial


1. Find the directional derivative of the function  at a point (-2,1) along the direction .



2. Find the directional derivative of the function  along the direction  at a point (1,1,1)




3. Consider a function . What is the direction in which maximum change of the function takes place at the point (2,2,1)?




4. Find the equation to the tangent plane to the surface  at the point (2,2,1).