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Math Help - absolute max/min question for function involving e

  1. #1
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    absolute max/min question for function involving e

    f(x) = 3xe-8x, 0 ≤ x ≤ 2

    I don't know how to find the absolute maximum and minimum values.

    Could you show an example of how to do so, step-by-step, for this question (or a similar one)?
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  2. #2
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    Re: absolute max/min question for function involving e

    get the first derivative and set it equal to zero .search for the solution wich is 1/8
    there is the max.....the other min is 0.
    see the attached graph

    absolute max/min question for function involving e-fig0100.png
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  3. #3
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    Re: absolute max/min question for function involving e

    Quote Originally Posted by angie427 View Post
    f(x) = 3xe-8x, 0 ≤ x ≤ 2

    I don't know how to find the absolute maximum and minimum values.

    Could you show an example of how to do so, step-by-step, for this question (or a similar one)?
    I am not sure that I understand your question. Are you asking about the difference between global and local extrema?
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  4. #4
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    Re: absolute max/min question for function involving e

    Quote Originally Posted by MINOANMAN View Post
    get the first derivative and set it equal to zero .search for the solution wich is 1/8
    there is the max.....the other min is 0.
    see the attached graph

    Click image for larger version. 

Name:	fig0100.PNG 
Views:	2 
Size:	27.9 KB 
ID:	30247
    You shouldn't need the graph. In general, in addition to f'=0, you need to ck end points.
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  5. #5
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    Re: absolute max/min question for function involving e

    Ok thank you everyone for your help.
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