Mathematics 1 Deneme Sınavı Sorusu #1219665

Which of the following is the local minimum point of the function f (x, y) = x² + 2 y² + 2 x + 3 y ?

(3, 5)

(-1, -4)

(3 / 5, 1)

(-2, -3 / 4)

(1, 2 / 3)

Yanıt Açıklaması:

?f / ?x = 2x + 2 = 0 ; x = -2 ; ?f / ?y = 4 y + 3 = 0 ; y = -3 / 4 ; a = ?²f / ?x² = 2 > 0 ; b = ?²f / ?y² = 2 ; c = ?²f / ?x ?y = 0 ; D = a . b – c² = 2 . 2 – 0 = 4 > 0 ; pg. 192. Correct answer is D.

PAYLAŞ:

SORUNUN CEVABI: D

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Mathematics 1 Deneme Sınavı Sorusu #1219665

Which of the following is the local minimum point of the function f (x, y) = x2 + 2 y2 + 2 x + 3 y ?

SORUNUN CEVABI: D

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Which of the following is the local minimum point of the function f (x, y) = x² + 2 y² + 2 x + 3 y ?