2-dimensional bowl

Calculus Level 2

The ends AA and BB of a rod of length of 5\sqrt{5} are sliding along the curve y=2x2y=2x^2. Let xAx_A and xBx_B be the xx-coordinates of the ends. At the moment when AA is at (0,0)(0,0) and BB is at (1,2)(1,2). Find the value of the derivative dxBdxA\dfrac{dx_B}{dx_A}.

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