Question

Jika diketahui FX = 20 x pangkat tiga setengah+2x pangkat dua setengah+10x,maka f"(4) adalah?

Answer 1

Verified answer

Mapel : Matematika
Kelas : XI SMA
Bab : Differensial

Pembahasan :
f(x) = 20x^(7/2) + 2x^(5/2) + 10x
f'(x) = 70x²√x + 5x√x + 10
f''(x) = 175x√x + (15√x)/2

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Maka...
f''(4) = 175.4√4 + (15√4)/2
f''(4) = 1400 + 15
f"(4) = 1415

Answer 2

Verified answer

F(x) = 20x^(3 1/2) + 2x^(2 1/2) + 10x
f'(x) = 70x^(2 1/2) + 5x^(1 1/2) + 10
f"(x) = 175x^(1 1/2) + 7,5x^(1/2)
f"(4) = 175(4)^(3/2) + 7,5(4)^(1/2)
f"(4) = 175(8) + 7,5(2)
f"(4) = 1400 + 15
f"(4) = 1415

jadi nilai f"(4) adalah 1415