Matematika

Pertanyaan

jika f(x) = √x²+1 maka f¹(x) =

2 Jawaban

  • f(x) = √(x²+1)
    y = √(x²+1)
    y² = x² + 1
    y² - 1 = x²
    x² = y² - 1
    x = √(y²-1)
    f¹(x) = √( x² - 1)
  • f'(x)=(x²+1)^1/2
          = 1/2(x²+1)^-1/2 . 2x
          = x(x²+1)^-1/2
          = 1/(x(√x²+1)

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