What point on the surface $\frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = 1$ , $x 0$ , $y 0$ , $z 0$ is closest to the origin?

Name: What point on the surface $\frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = 1$ , $x > 0$ , $y > 0$ , $z > 0$ is closest to the origin?
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Question

What point on the surface $\frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = 1$ , $x > 0$ , $y > 0$ , $z > 0$ is closest to the origin?

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The Answer of What point on the surface $\frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = 1$ , $x > 0$ , $y > 0$ , $z > 0$ is closest to the origin?

What Point on the Surface 1x+1y+1z=1\frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = 1x1​+y1​+z1​=1

What Point on the Surface $\frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = 1$