Matematika

Pertanyaan

Mohon bantuannya.
Terimakasih teman teman.
Mohon bantuannya. Terimakasih teman teman.

2 Jawaban

  • f(x) = 20x^(7/2) + 2x^(5/2) + 10x
    f'(x) = 70x^(5/2) + 5x^(3/2) + 10
    f''(x) = 175x^(3/2) + (15/2) x^(1/2)
    f''(4) = 175 (4)^(3/2) + 15/2 (4)^(1/2)
    = 175 (2^2)^(3/2) + 15/2 (2^2)^(1/2)
    = 175 . 2^3 + 15/2 . (2)
    = 175 . 8 + 15
    = 1415
  • 3 ½ = 7/2
    2 ½ = 5/2

    maka
    f(x) = 20x^7/2 + 2x^5/2 + 10x
    turunan pertama
    f'(x) = 20(7/2)x^(7/2 - 1) + 2(5/2)x^(5/2 - 1) + 10
    f'(x) = 70x^5/2 + 5x^3/2 + 10
    turunan kedua
    f"(x) = 70(5/2)x^(5/2 - 1) + 5(3/2)x^(3/2 - 1) + 0
    f"(x) = 175x^3/2 + 15/2 x^½

    f"(4) = 175(4)^3/2 + 15/2 (4)½
    f"(4) = 175 (2²)^3/2 + 15/2 (2²)^½
    f"(4) = 175 (2³) + 15/2 (2)
    f"(4) = 1.400 + 15
    f"(4) = 1.415

    Opsi C

    semoga berguna +_+