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#### skatenerd

##### Active member

- Oct 3, 2012

- 114

$$\sum_{i=1}^{n}a_ix_i$$ subject to the constraint $$\sum_{i=1}^{n}x_i^2=1$$.

I honestly have not much of an idea of how to go about solving this. If I use lagrange multipliers which I think I am supposed to since this problem is from that section of the book, how would I even begin to take partial derivatives of these summations, let alone solve a system of equations with them? Any hint on how to begin this would be appreciated. Thanks