**Question:**Find an equation of the plane tangent to the following surface at the given point.\[ z = \tan^{-1}(xy); \ (1, 0, 0) \]

To find the equation of the tangent plane.

Answered: Find an equation of the plane tangent…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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Find an equation of the plane tangent to the following surface at the given point. 1 z = tan¹(xy); (1,0,0)