Find an Equation of the Tangent Plane to the Surface $\sqrt { x } + \sqrt { y } + \sqrt { z } = 4$

question 139

Multiple Choice

Find an equation of the tangent plane to the surface $\sqrt { x } + \sqrt { y } + \sqrt { z } = 4$ at the point $( 4,1,1 )$ .

• A) \(2 x + y - z = 1\)
• B) \(x + 2 y + 3 z = 9\)
• C) \(x - 2 y + 4 z = 0\)
• D) \(4 x - y + 6 z = 1\)
• E) \(x + 2 y + 2 z = 8\)
• F) \(3 x + 2 y + z = 1\)
• G) \(x + y + z = 6\)
• H) \(2 x + y + z = 10\)

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