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if a differentiable function f has a relative extrema at a point x=c, then f'(c) = 1

Find two positive numbers whose product is 110 and the sum of the first plus twice the second is a minimum

A farmer wants to create a grazing area beside a river. the river will form one side of the area, while fencing material will be used for the other sides. the farmer has a total of 800 feet of fencing material to enclose the area. what is the maximum area that can be enclosed, and what are the dimension?

by cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. if the cardboard is 15in long and 8in wide, find the dimensions of the box that will yield the maximum volume.

Find the points on the graph of f(x) = 2x that is closest to the point (1,0) ???