Find an Equation of the Tangent Plant to the Surface $z = \frac { x } { \sqrt { y } }$

question 208

Multiple Choice

Find an equation of the tangent plant to the surface $z = \frac { x } { \sqrt { y } }$ at the point $( 4,4,2 )$ .

• A) \(z = - \frac { 1 } { 2 } x + \frac { 1 } { 4 } y + 1\)
• B) \(z = - \frac { 1 } { 2 } x - \frac { 1 } { 4 } y + 1\)
• C) \(z = \frac { 1 } { 2 } x - \frac { 1 } { 4 } y + 2\)
• D) \(z = \frac { 1 } { 2 } x + \frac { 1 } { 4 } y + 1\)
• E) \(z = \frac { 1 } { 2 } x - \frac { 1 } { 4 } y - 1\)
• F) \(z = \frac { 1 } { 2 } x - \frac { 1 } { 4 } y + 1\)
• G) \(z = - \frac { 1 } { 2 } x - \frac { 1 } { 4 } y + 2\)
• H) \(z = \frac { 1 } { 2 } x + \frac { 1 } { 4 } y + 2\)

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