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in this video we're going to talk about optimization problems the goal with these types of problems is that you're trying to optimize something that is you're trying to find the dimensions that will maximize the area of a plot of land or that will minimize the amount of fencing required or if you're dealing with business type problems you're trying to find a situation where you can achieve maximum profit or minimize costs and so that's the goal of these type of problems we're trying to find the optimal conditions to get the best results so therefore in order to solve these type of problems you need to be able to identify the maximum and the minimum values of a function so here we have a local maximum and here we have a minimum now there's two there's one important characteristic of these points in the graph at the maximum value and at the minimum value the slope of the horizontal tangent line is zero therefore to find the location of a maximum or a minimum what you need to do is you ne

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