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Thread: Find the inflection point of this function

  1. #1
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    Find the inflection point of this function

    (for some reason I can't work the latex)

    f(x) = -3/($\displaystyle e^{2x}$-4$\displaystyle e^x$+3)

    f'(x) = ($\displaystyle 6e^{2x}$ -12$\displaystyle e^x$)/ ($\displaystyle e^{2x}$-4$\displaystyle e^x$+3)^2

    f''(x) = ...... basically, in the numerator I got $\displaystyle t^3 - 3t^2 + t + 3$
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Find the inflection point of this function

    There is a latex error ...
    For calculating the second derivative it can be useful to factorize the denominator so you simplify the fraction.
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