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## Homework Statement

Find max/min of f subject to constraint: x^2+y^2+z^1 = 1

## Homework Equations

f(x,y,z) = 1/4*x^2 + 1/9*y^2 + z^2

g(x,y,z) = x^2 + y^2 + z^2 - 1

## The Attempt at a Solution

L = 1/4*x^2 + 1/9*y^2 + z^2 - λ(x^2 + y^2 + z^2 - 1)

Lx = 2/4*x - λ*x*2

Ly = 2/9*y - λ*2*y

Lz = 2*z - λ*2*z