Matematika

Pertanyaan

tolongg bantuiinnn:(
tolongg bantuiinnn:(

1 Jawaban

  • x^1/2 + y^1/2 = a^1/2
    y^1/2 = a^1/2 - x^1/2 ====> kedua ruas dikuadratkan
    y = (a^1/2 - x^1/2)²

    dy/dx = y'
    = 2(a^1/2 - x^1/2) . -1/2 x^-1/2 ==> -1/2 x^-1/2 adl turunan dr (a^1/2 - x^1/2)
    = 2 . -1/2 x^-1/2 (a^1/2 - x^1/2)
    = -x^-1/2 (a^1/2 - x^1/2)
    = - a^1/2 x^-1/2 + x^0
    = -a^1/2 x^-1/2

    d²x/dx² = y''
    = 1/2 a^1/2 x^-3/2
    = 1/2 x^-3/2 a^1/2

    ^ = pangkat