The Return ofMore Problems(1) Differentiate the following functions.(a)y= ln(arcsin(3x) + 1)(b)y= sin(arctan(lnx+x))(c)y=x2arccosexx2(d)y=arctan(e√x)1 +x2(e)y= arcsin(xearctanx)(2) A rectangle is to have fixed perimeterP. What dimensions give maxi-mal area?(3) An isosceles triangle has baseand heighth. Find the maximum areaof an inscribed rectangle with one side on the base of the triangle.(4) At which points on the curvey= 1 + 40x3-3x5does the tangent linehave the largest slope?
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