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I have a problem that I've been trying to figure out for a couple of days now. Its a question off of an assignment, and I have been busting my balls(excuse my french) with no results. HELP would be GREATLY appreciated...lthis is the question at hand:

xsin(y) + x^3 = tan^(-1)(y)

the second part is an inverse

I have to find the first and second derivative, critical values, points of inflection, intercept, in order to sketch it afterwards.

I shall cross my fingers with the hope that I will find genius out there :D !!!