Matematika

Pertanyaan

bntu jawab ya kakk
dari nomor 2 sampe 4
bntu jawab ya kakk dari nomor 2 sampe 4

1 Jawaban

  • 2. turunan
    y =  cos³ (5 - 4x)
    u = 5- 4x
    du /dx = - 4

    t = cos u
    dt/du = - sin u

    y = t³
    dy/dt = 3 t²

    dy/dx = dy/dt. dt/du.du/dx
    dy/dx = 3t². (-sin u). (-4)
    dy/dx = - 12 cos² (5-4x) sin (5x- 4)

    3.turunan
    y = cos (3/x)
    u = 3/x --> du/dx = -3/x²
    y = cos u  -->dy/du  = - sin  u

    dy/dx = dy/du, du/dx
    dy/dx= (- sin u)( -3/x²)
    dy/dx =3/x² . sin(3/x)


    4.turunan y =tan(cos x)

    u = cos x
    du/dx = - sin x

    y = tan u
    dy/du = sec² u

    dy/dx = dy/du.du/dx
    dy/dt = sec² u .(-sin x)
    dy/dt = - sec² (cos x). sin x