Matematika

Pertanyaan

x = 3 (1 - cos t)
y = 3 (t - sin t)
mencari dy/dx nya berapa sich..??. tolong klo ad yg bisa di bantu ea...mksih..

1 Jawaban

  • x = 3 - 3cos t
    dx/dt = 3sin t
    dt/dx = 1/3sin t

    y = 3t - 3sin t
    dy/dt = 3 - 3cos t

    dy/dx = (dy/dt)(dt/dx)

    [tex] \frac{dy}{dx} = \frac{3 - 3cos t}{3 sin t} [/tex]

    [tex] \frac{dy}{dx} = \frac{1 - cos t}{sin t} [/tex]

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