You are the new chief information officer for the video-game developer, necturus games. the company has recently undergone a major expansion of its primary product, and you must staff up the is department and determine the best way to develop new game "capsules" for the game, "escape velocity."

For positive constants a and b, the force between two atoms in a molecule is given f(r) = −a r2 + b r3 , where r > 0 is the distance between the atoms. note: a and b are upper case letters. (a) find f '(r) = (b) find the critical point for f(r). r = (c) find f ''(r) = (d) find the value of r so that f ''(r) = 0.