In: Math
f(x)=e^x/(3+e^x)
Find the first derivative of f.
Use interval notation to indicate where f(x) is increasing.
List the x coordinates of all local minima of f. If there are no local maxima, enter 'NONE'.
List the x coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'.
Find the second derivative of f:
Use interval notation to indicate the interval(s) of upward concavity of f(x).
Use interval notation to indicate the interval(s) of downward concavity for f(x)
List the x values of the inflection points of f. If there are no inflection points, enter 'NONE'.