Example # 3: Given f(x) = -5e* , determine f'(-1)Example # 3: Find the equation of the line tangent to the curve f (x) = 26" at x = 1n 3. Example # 4: A biologist is studying the increase in the population of a particular insect in a provincial park. The population triples every week. Assume the population continues to increase at this rate. Initially there are 100 insects. a) Determine the number of insects present after 4 weeks? b) How fast is the number of insects increasing when they are initially discovered? At the end of 4 weeks?