Applications of Exponential & Log Function Derivatives
1. The number of bacteria, N, in a certain culture grows exponentially according to: N = 10,000e0.1t where t is in hours.What is the rate of population increase at a) t = 0?
b) t = 100?
Solution: What is known? What are we looking for? Write this in mathematical terms.
N = 10,000e0.1t and dN/dt = ? when t = 0 and t = 100.
How do we get dN/dt?