Matematika

Pertanyaan

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2 soal pakai jalan
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1 Jawaban

  • 21. limit

    lim(x->√2) {x²- 2} / (x- √2) =
    = lim(x->√2)  (x+ √2)(x-√2) / (x - √2)
    = lim(x->√2) ( x+ √2)
    = √2  + √2
    = 2√2

    22. turunan

    f(x)= (2x² + 3)/(x-6)
    f(0)= (0 + 3) /(0 - 6)
    f(0) = 3/-6
    f(0)= - 1/2
    .
    f(x)= (2x² + 3)/(x-6)
    f(x)= u/v
    f'(x)= (u'v - uv')/v²
    f '(x)= {(4x)(x-6) - (2x²+3)(1) }/(x-6)²
    f '(x)= (4x² - 24 x - 2x² - 3) / (x - 6)²
    f '(x) = (2x² - 24x - 3)/(x - 6)²
    f'(0)=  (-3)/(-6)² = -3/36
    f '(0)= - 1/12

    f(0) + f '(0)= 1/2  - 1/12 = 5/12