Life time of battery is one of the major concerns in Wireless Sensor Networks (WSNs). Traditional network algorithm chooses the data transmission path based on the distance between sender and receiver. For example, in Directed Diffusion (DD), the nodes closer to the sink node are more active so that the continuous data flow of the network is maintained. However, in such scenario, there is an energy hole problem because the nodes closer to the sink reduce their energy since they are more active. But if the residual energy and shortest hop counts can be taken together, then the problem can be overcome. We have analyzed different transmission cost functions with respect to Approximated Uniform Energy Dissipation Directed Diffusion Algorithm (AUEDDD). The final goal of the paper is to find out the suitable cost function to resist the early death of the first node of a network. We introduce dynamic priority variable, which is a tradeoff between total energy consumption and uniform energy dissipation.