The minimum value of x² + y² subject to the condition x + y = 6 is: A. 18 B. 36 C. 12 D. 9 Answer: A) 18 Explanation: y = 6 − x. f(x) = x² + (6 − x)² = 2x² − 12x + 36. f'(x) = 4x − 12 = 0 → x = 3, y = 3. f(3) = 9 + 9 = 18.

imo class 12 application of derivatives

The minimum value of x² + y² subject to the condition x + y = 6 is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The minimum value of x² + y² subject to the condition x + y = 6 is:

Answer: A) 18

Explanation: y = 6 − x. f(x) = x² + (6 − x)² = 2x² − 12x + 36. f'(x) = 4x − 12 = 0 → x = 3, y = 3. f(3) = 9 + 9 = 18.