In this activity, Vlad worked on an extensive worksheet on integration using substitution. This exercise integrated both definite and indefinite integrals.
In this activity, Vlad again worked with volume of revolution. these volumes used the disk or washer method but the figures were revolved around the Y-axis.
In this activity, Vlad determined volumes determined by several equations and then revolved around the x-axis. The method of integration uses disks or washers depending on the volume formed.
In this activity, Vlad determined derivatives of inverse trig functions and also reviewed his rules for differentiation of both exponential and logarithmic functions.
In this activity, Vlad reviewed the rules of differentiation that are used to work with the trig functions and inverse trig functions. We focused mainly on the inverse trig rules because they are difficult to use.
In this activity, Vlad focused on using derivatives to analyze and graph functions. First derivative determines intervals of increasing and decreasing along with relative maximum and minimum. Second derivative determines concavity and points of inflection. Together the derivatives also determine when the function is speeding up and slowing down.
In this activity, Vlad focused on the intermediate value theorem. The intermediate has many applications but Vlad verified the theorem works for derivatives.