In this activity, Nina reviewed the rules using first and second derivatives to determine intervals of increasing and decreasing intervals and at the same time relative Max and Min values. She used second derivatives to determine concavity and points of inflection.
In this activity, Nina determined derivatives involving exponential and logarithmic functions. These functions used not only base e but also the rules for any base greater than 0.
In this activity, Nina worked on and reviewed laws of derivatives that were represented using negative and fractional powers. These derivatives require functions to be rewritten in exponential form to use the differentiation rules.
In this activity, Nina Used the definition of derivative to determine the rate of change of a function. She also used derivatives to determine equations of tangent lines and lines normal to the tangent line.