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 Topic: critical point
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 Simplify the expression 2012-02-12 From Christy:Hi guys, ok so I'm having problems with solving this equation since it's been so long I've done precal. I have to find critical points so I have to find the derivative first. This is what I've done so far s(t)= (t-6)^4 * (t+1)^2 t'= 4(t-6)^3*(1)*(t+1)^2+ 2(t+1)(1)*(t-6)^4 so this is where I got stuck, which is the algebra part. How can I simplify this to get the answer to figure out the critical points.Answered by Penny Nom. Maximum volume of a box 2008-01-15 From Rajesh:A square piece of a cardboard of sides ten inches has four equal peices are removed at the corners, then the sides are turned up to form an open box. What is the maximum volume such a box can have?Answered by Stephen La Rocque. Smallest cone containing a 4cm radius inscribed sphere 2007-12-19 From Eva:A sphere with a radius of 4cm is inscribed into a cone. Find the minimum volume of the cone.Answered by Stephen La Rocque. Maximizing profit 2007-01-23 From Denise:Total Profit= Total Revenue-Total Cost P(x)=R(x)-C(x) Where x is the number of units sold. Find the maximum profit and the number of units that must be sold in order to get that profit. R(x)=5x C(x)=.001x^2+1.2x+60Answered by Stephen La Rocque.

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