# Implicit Function Theorem

Not what you're looking for? Search our solutions OR ask your own Custom question.

Determine whether the equation xyz + sin(x + y + z) = 0 can be solved for z in a nonempty, open set V containing the point (x, y, z) = (0, 0, 0). If it can, is the solution differentiable near the point (x, y) = (0, 0)?

See the attached file. Solution to 11.6.2(a) is needed.

Â© BrainMass Inc. brainmass.com March 4, 2021, 10:04 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/implicit-function-theorem-nonempty-open-set-297231

#### Solution Summary

A complete, detailed solution of the given problem (including statements of the pertinent definitions and a statement of the pertinent version of the Implicit Function Theorem) is provided.

$2.49