A potential-energy function is given by U = C/x, where

A potential-energy function is given by U = C/x, where C is a positive constant. 

(a) Find the force Fx as a function of x. 

(b) Is this force directed toward the origin or away from it? 

(c) Does the potential energy increase or decrease as x increases? 

(d) Answer parts (b) and (c) where C is a negative constant.