Matematika

Pertanyaan

Jika f(x) = 3x⁴-2x³+x+2, Maka f'(2) =
A.72
B.73
C.74
D.75
E.81

2 Jawaban

  • f(x) = 3x^4 - 2x^3 + x + 2
    turunannya
    f'(x) = 12x^3 - 6x^2 + 1

    f'(2)
    = 12 . 2^3 - 6 . 2^2 +1
    = 12 . 8 - 6 . 4 + 1
    = 96 - 24 + 1
    = 73

    note :
    jika f(x) = ax^n
    maka
    f'(x)
    = n . ax^(n-1)
  • F'(x): 12x*3-6x*2+1
    F'(2) :12(2)*3-6(2)*2+1
    F'(2): 96-24+1
    F'(2): 73
    B.73

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