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What is the least value of this expression? Please show me a way to determine it.

Tejas
  • 2,082

2 Answers2

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Hints:

  • Take the partials of each variable and equate to $0$ and solve for the point.
  • For example $f_x = 2x - 2 = 0 \rightarrow x = 1$.

Spoiler

Minimum = $1$ at the point $\left(1, \dfrac{3}{2}, 1\right)$.

Amzoti
  • 56,093
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Just complete the squares: $(x-1)^2+(2y-3)^2+3(z-1)^2+1$