Question

f(x)=((x)/(x^2+2)) Find the intervals on which f(x) is increasing and decreasing and all points of inflection.

Answer 1

First find the first and second derivatives. To find increasing decreasing, find the critical points (when f'(x)=0 or when f'(x) DNE) then create a number line. For inflection points, find when f''(x)=0 or when f''(x) DNE