Identifying maxima and minima of functions by using differential calculus.
The Mean Value Theorem (MVT) and the special case of Rolle's Theorem.
The first derivative test and the second derivative test to categorize local extrema.
Creating models in which you can apply calculus to optimize real world scenarios.
Using linearization models to calculate differentials.
Using implicit differentiation to relate rates.
Using L'Hospitals Rule to evaluate the value of limits in indeterminate form.