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Math Help - Finding Values of x

  1. #1
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    Finding Values of x

    1)For what values of x is the graph of y=e^-x^2 concave down?

    I am not sure how to go about doing this problem, so please, any advice or steps on how to complete the problem will be much appreciated.

    -M
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  2. #2
    GAMMA Mathematics
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    Quote Originally Posted by blurain View Post
    1)For what values of x is the graph of y=e^-x^2 concave down?

    I am not sure how to go about doing this problem, so please, any advice or steps on how to complete the problem will be much appreciated.

    -M
    Find the second derivative and set it equal to zero. Solve for all values of x and test in between those values to see if you get a negative or positive number. Negative results mean it is concave down within that sub-domain.
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  3. #3
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    I'm not sure how to find the derivative of y=e^-x^2?
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  4. #4
    GAMMA Mathematics
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    Quote Originally Posted by blurain View Post
    I'm not sure how to find the derivative of y=e^-x^2?
    Chain Rule..
    f(x)=e^{g(x)}
    f'(x)=g'(x)e^{g(x)}
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