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iphone1. Field of the Invention The invention relates generally to the field of medical therapy and diagnosis. More particularly, the invention relates to a method of detecting biofilm formation on an indwelling medical device. 2. Description of Related Art Biofilm formation on indwelling medical devices, such as stents, may result in adverse health conditions for a patient. By way of example, if a biofilm forms on a coronary stent, it is possible for the stent to fail mechanically, i.e. fracture, cause blood clots to form in the blood vessel, or become partially or completely blocked and cause myocardial infarction, among other adverse health conditions. A biofilm formation on a medical device may be prevented or reduced by applying one or more antibiotics or other biocides, and other techniques. However, biofilm formation on the medical device may continue to progress for an extended period of time even after a therapy has been applied. The continued progress of biofilm formation may be due, for example, to the ability of the medical device to shed biofilm-encapsulated bacteria from its surface, thereby causing the bacteria to revert to a non-biofilm forming state. Biofilm formation on the medical device may be monitored by placing a medical device into a test tube with a substrate and growing a biofilm on the surface of the substrate. The thickness of the biofilm may be measured, for example, by cutting off samples from the biofilm and measuring the diameter of the samples. The medical device may be evaluated by comparing a biofilm formed on the medical device with a biofilm formed on the substrate. In addition, other measurements, such as scanning electron microscopy (SEM) and confocal microscopy may be performed. In the above-described method, the biofilm formation on the substrate is relatively rapid and reliable. However, the biofilm formation on the medical device is typically much slower and not as reliable as the biofilm formation on the substrate. Therefore, there exists a need for a method that detects biofilm formation on an indwelling medical device more accurately. The subject matter claimed herein is not limited to embodiments that solve any disadvantages or that operate only in environments such as those described above. Rather, this background is only provided to illustrate one exemplary technology area where some embodiments described herein may be practiced.Q: When is the $1^ ext{st}$ derivative equal to zero? Consider the equation




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