Optimize f(x,y,z) = x(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}+ y^{2}+ z^{2}- 2x subject to the constraint g(x,y,z) = x^{2}+ y^{2}+ z^{2}- 25 = 0

Step 1:

L = f - [tex]\lambda[/tex]g = x^{2}+ y^{2}+ z^{2}- 2x - [tex]\lambda[/tex](x^{2}+ y^{2}+ z^{2}- 25).

Step 2:

L_{x}= 2x - 2 - 2[tex]\lambda[/tex]x = 0

L_{y}= 2y - 2[tex]\lambda[/tex]y = 0

L_{z}= 2z - 2[tex]\lambda[/tex]z = 0

What do I do now? Please help.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Optimize f(x,y,z) = x2 + y2 + z2 - 2x

**Physics Forums - The Fusion of Science and Community**