# `f(x) = ((x^2)tan^-1 (x))/(1 + x^3)` Estimate the intervals of concavity to one decimal place by using a computer algebra system to compute and graph `f''`.

*print*Print*list*Cite

Expert Answers

gsarora17 | Certified Educator

Graph is attached . Red colour represents function and blue colour represents f''.

Intervals of concavity (-1,0),(0,0.7),(0.7,2.5) and (2.5,`oo` )

Inflection points at x=0 , x=0.7 and x=2.5