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10 May, 06:40

Find dy/dx (derivative) using Implicit Differentiation: xe^y=x-y

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  1. 10 May, 07:01
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    [xe^y]' = [x-y]'

    x'[e^y] + x[e^y]' = x' - y'

    e^y + x[e^y]y' = 1 - y'

    y' [xe^y] + y' = 1 - e^y

    y' (1 + xe^y) = 1 - e^y

    y' = [1 - e^y] / (1 + xe^y)
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