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 $\displaystyle t^3 - 3t^2 + t + 3$

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.