Matematika

Pertanyaan

carilah turunan fungsi F(x)=(x'" + 4x) 7 kuadrat
carilah turunan fungsi F(x)=(x' + 4x) 7 kuadrat

2 Jawaban

  • F(x) = (x³ + 4x)^7

    Turunan
    F'(x) = 7 (x³ + 4x)^6 . (3x² + 4)
    F'(x) = (21x² + 28)(x³ + 4x)^6
  • jawab

    f(x)= (x³ + 4x)⁷

    g(x) = x³ + 4x
    g'(x) = 3x² + 4

    f(x) = {g(x)}⁷
    f' (x)=  7 {g(x)}⁶. g'(x)
    f' (x) = 7 (x³ + 4x)⁶  (3x² + 4)
    f' (x) = 7(3x² + 4). (x³ + 4x)⁶