Concepts:

the first derivative test.

inflection points on a graph and given a function.

the second derivative test.

cotimization problems.

L$\text{'}$H$$pilars Rule.

Problem:

Suppose you want to use L$\text{'}$H$$pital$\text{'}$s rule to compare the growth rate of an exponential function $)=(3ex+7$ and logarithmic function $)=(9lnx+7$

Create your own functions based on the scenario above and address the following:

Describe how the concepts can be applied in this case.

Compare the two growth rates.

Provide another example of a scenario that involves the same concept.