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23 August, 21:30

X = cos (2t) and y = sin (2t)

Find the second derivative

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  1. 23 August, 21:46
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    Dy/dx = (dy/dt) / (dx/dt)

    dy/dt = 2cos (2t)

    dx/dt = - 2sin (2t)

    dy/dx = 2cos (2t) / - 2sin (2t) = - cot (2t)

    d^y/dx^2 = d (-1/tan (2t)) / dx = (tan (2t) * 0 - (-1) * 2sec^2 (2t)) / tan^2 (2t) = 2sec^2 (2t) / tan^2 (2t) = 2csc^2 (2t)
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