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Sketch and find behaviour of y=(e^x)sinx

Source: ISI(BS) 2007 #2

April 12, 2012
calculusfunctiontrigonometryderivativecalculus computations

Problem Statement

Use calculus to find the behaviour of the function y=exsin⁡x       −∞<x<+∞y=e^x\sin{x} \ \ \ \ \ \ \ -\infty <x< +\infty and sketch the graph of the function for −2π≤x≤2π-2\pi \le x \le 2\pi. Show clearly the locations of the maxima, minima and points of inflection in your graph.
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