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Problem 4. Let y = f(x) be a function that is implicitly defined by the equation sin(y?) - (2x- sin(x)) (1+ y 2 ) .

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Problem 4. Let y = f(x) be a function that is implicitly defined by the equation sin(y?) - (2x- sin(x)) (1+ y 2 ) . 1. Find a formula for f'(x) in terms of a and f(x). 2. Does f(r) have any local extrema? To simplify the problem you may assume that the domain of f(z) is an open interval

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