2. Tentukan nilai optimum fungsi berikut ini. a. y=-6x² + 24x - 19 2 b. y=x²-3x+15 3 c. y=-- x²+7x-18
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Jawab:
a. 5
b. 12 3/4
c. -9 3/4
Penjelasan dengan langkah-langkah:
Nilai optimum jika dy/dx = 0
a. -12x + 24 = 0 -> x = 2 -> y = -6 (2^2) + 24 (2) - 19 = 5
b. 2x -3 = 0 -> x = 3/2 -> y = (3/2)^2 - 3(3/2) + 15 = 51/4=12 3/4
c. -2x + 7 = 0 -> x = 3/2 -> y = -(3/2)^2 + 7(3/2) - 18 = -39/4 = -9 3/4
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