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22 December, 21:28

Suppose that x and y are related by the equation 2x^2-y^2=5 and use implicit differentation to determine dy/dx.

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  1. 22 December, 21:48
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    2x^2 - y^2 = 5

    Differentiate:

    4x - 2y dy/dx = 0

    Add 2y dy/dx to each side:

    4x = 2y dy/dx

    Divide each side by 2y and simplify:

    2x/y = dy/dx
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