maximum or minimum

maximum or minimum - Positive result means concave up = min...

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To maximize or minimize something: 1. You need a function. The function might be given. You might need to create the function. 2. Find the stationary points for the function by finding its derivative, and setting the derivative = 0. Maximum and minimum values for the function must occur at its stationary points OR could be at the endpoints if you working within a specified interval. 3. Determine if the stationery points yield maximum or minimum values for the function. You can do this by checking out the graph if possible. You can also use the Second Derivative Test. o Find the 2 nd derivative. o Plug in the stationery points into the 2 nd derivative and see if the result is positive or negative.
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Unformatted text preview: Positive result means concave up = min Negative result means concave down = max & You can also determine whether the function is increasing (derivative is positive) or decreasing (derivative is negative) to the right and left of any stationary point. o If the derivative is positive, then changes to negative on either side of a stationery point, you have a local maximum. o If the derivative is negative, then changes to positive on either side of a stationery point, then you have a local minimum. o If the derivative doesnt change sign, its neither. 4. If you are dealing with an application problem, be sure to answer the specific question....
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This note was uploaded on 12/12/2011 for the course MAC 2311 taught by Professor Teague during the Spring '11 term at Santa Fe College.

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