# Maximum of disturbance for function of y=rctan(x)

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 December 1, 2008, 04:49 Maximum of disturbance for function of y=rctan(x) #1 largeBILL Guest   Posts: n/a Dear Friends: The function: y=arctan(x), x=0~infinite, y=0~pai/2. When x is subjected a disturbance, y has a corresponding disturbance. There may be a maximum (limit) of disturbance of y for a given value of y. For example, at y=80 degree, maybe the maximum possible disturbance is 0.2 degree. Is it possible? We want to find the maximum of disturbance of y in the whole range of 0~pai/2, i.e., to obtain the "maximum of disturbance of y" versus y. It is appreciated if anyone can help. Thanks LargeBILL

 December 6, 2008, 20:09 Re: Maximum of disturbance for function of y=rctan #2 Bignose Guest   Posts: n/a If a function is to be limited to a certain range, and you want to find what inputs to the function keep the output in the certain range, just use the inverse function. I.e. if y=80+0.2, then calculate x_high = y^-1(80.2) and x_low = y^-1(79.8).

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