Due to environmental factors, the snail population has been found to follow a growth rate of f^(')(t)=12te^(-0.3t) in hundred of snails per year. Find the total growth of the snail population. Which of the following options is the correct answer?
A) 10te^(-0.3t) hundred snails per year B) 12te^(-0.3t) hundred snails per year C) 12e^(-0.3t) hundred snails per year D) 10e^(-0.3t) hundred snails per year