Question

Calculate gx(x, y) for all (x, y) not equal to (0,0) . Simplify your answer.
b) Use the limit definition of the partial derivative to determine
gx(00)
c) Using the definition of continuity at a point determine whether g
is continuous at (0,0) . Show all work.
d) Using the definition of continuity at a point determine whether gx
is continuous at (0,0) . Show all work