Question

Calculate gx(x, y) for all (x, y) (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 a
ll work.

d) Using the definition of continuity at a point determine whether gx
is continuous at (0,0) . Show all work.

Answer 1

\[x^3-x^2y/x^2+y^2\]

Answer 2

(XY not equal to zero
)