Matematika

Pertanyaan

Harap bantuannya tentang bab turunan pertama
Harap bantuannya tentang bab turunan pertama

1 Jawaban

  • f(x) = x^2 (2x + 3)^3 = u . v
    u = x^2 => u' = 2x
    v = (2x + 3)^3 => v' = 3(2x + 3)^2 . 2 = 6(2x + 3)^2
    f'(x) = u' v + v' u
    f'(x) = 2x (2x + 3)^3 + 6(2x + 3)^2 . x^2
    f'(1) = 2(1) (2.1 + 3)^3 + 6(2.1 + 3)^2 . 1^2
    = 2 (5)^3 + 6 . (5)^2 . 1
    = 2(125) + 6(25)
    = 250 + 150
    = 400