Minimize Distance to a Fixed Point to a Square Root Function

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Topics

• Optimization of Distance 

Steps: 

• Write the distance function related to the given point
• Simplify the radicand related to the distance function
• Take the first derivative of the distance function
• Determine the root of the first derivative 
• Test all critical points related to the feasible domain
  • roots of distance function's derivative
  • boundary values of the feasible region
• Verify the minimum distance with technology

Links and Resources

• FA Minimize Distance to a fixed point and a square root function with solutions 
• Expanded Solutions closest to (6,0)
• Expanded Solutions closest to (11,0)
• Expanded Solutions closest to (12,0)

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Expanded Solutions (12,0)

Expanded Solutions (11,0)

Expanded Solutions (6,0)