Bantuin yah tolong.
fungsi
f(x) = x^4 - 2x^2 + ax + amempunyai nilai minimum b di x = 1 nilai a + b adalah
fungsi
f(x) = x^4 - 2x^2 + ax + amempunyai nilai minimum b di x = 1 nilai a + b adalah
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Maka, f'(1) = 0
Sehingga,
0 = 1⁴ - 2(1)² + a(1) + a
0 = 1 - 2 + 2a
0 = -1 + 2a
2a = 1
a = 1/2
Maka,
b = f(1/2)
b = 1/16 - 2(1/4) + 1(1/2) + 1/2
b = 1/16 - 1/2 + 1
b = 1/16 + 1/2
b = (1+8)/16
b = 9/16
Sehingga,
a+b
= 1/2 + 9/16
= (8+9)/16
= 17/16