Question: Graph the function f ( x ) = x 4 + 4 x 3 Find and graph all critical points of the first and second

  1. Graph the function f(x)=x4+4x3 Find and graph all critical points of the first and second derivatives, find where the function is increasing, decreasing, concave up, and concave down. Find all horizontal tangents and all inflection points. Finally graph the function. Neatness counts!

  1. A farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into four pens with

fencing parallel to one side of the rectangle.What is the largest possible total area of the four pens? You

must give appropriate endpoints to get full credit.

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