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Math Help - Intervals

  1. #1
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    Intervals

    I have the following problem

    g""(x)=7x-2

    Determine intervals on which original function is concave up and intervals on which it is down.

    If someone could help me and tell me what the answer is, I would greatly appreciate it.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by dimanre View Post
    I have the following problem

    g""(x)=7x-2

    Determine intervals on which original function is concave up and intervals on which it is down.

    If someone could help me and tell me what the answer is, I would greatly appreciate it.
    are you sure you meant to type ""? that would be the 4th derivative
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  3. #3
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    Thanks

    No..I meant to type it as second dirivitive..thanks
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  4. #4
    Member eXist's Avatar
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    I'll help ya

    To find where a function is concave up or concave down, you need to calculate the second derivative denoted f''(x). In this case, they gave you it: g''(x)=7x-2

    Now, once you calculate the second derivative, you look for the intervals where it is positive or negative. Where the second derivative f''(x) is positive, then the graph of f(x) is concave up. Where it is negative, the graph of f(x) is concave down .

    Now find those intervals
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  5. #5
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    ok

    So do you plug in random numbers to test it? and if so, can you show an example?
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  6. #6
    Member eXist's Avatar
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    Well you find the zeroes of that function. Then test points to the left and right.
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  7. #7
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    Got it..thanks

    Thanks for your help, I really appreciate it.
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