Question

i have this question

the population fucntion of bacteria is observed to be f(t)=C e^2t where C is some constant. if after one hour a scientist abserves the growth rate to be 744 bacteria/hour what was the initial bacteria population.

i know that C is the inital bacteria population, and initally i thought you would just make the equation = 744 and t = 1 but i don't think that's right


so after thinking about it, the derivative of this function is the growth rate right? so if i set the derivativbe equal to 744 and t = 1 then that will tell me what the initial is will it not?


yes, that is right!


Thanks = )