Calculus IV Quiz 1 Fall 1998 9/9/98

 
 
1. State the definition of the partial derivative of a function f(x,y) with respect to y.
 
 
 
2. Write an equation for the plane tangent to the surface z = y3 - 2xy at the point (1, -2).

Graph of function 


 

 
 
 
3. Let f(x,y) = ye^(-x^2-y^2). Find the gradient of f at the point (1, -1).

Graph of function