Suppose (x)=sin(x cosx). On any interval where the inverse function y = f-¹(x) exists, the derivative of f-1(x) with respect to x is: cos(x cosx)' where x and y are related by the equation (satisfy the equation) x = sin(x cosy). sinx cos(x cosx)' -1 siny cos(x cosy) where x and y are related by the equation * = sin(x cosy). where x and y are related by the equation *=sin(x cosy).

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