Business Calculus

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Determine the intervals where f(x)=e^-x^2/2 is increasing and decreasing

  • Business Calculus -

    f(x) is increasing when f'(x)>0

    ln(f)=-x^2/2 * e^(-x^2/2)

    take the derivative.
    f'/f(x)=-e^(-x^2/2)( -x)=xe^ ( )

    then f'=xe^ ( ) * e^( )= xe^(-x^2)

    check that.
    so when x>0, f(x) is increasing.

  • Business Calculus -

    never mind

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