In this activity, Anna determined the local linear approximation equation and used the function to estimate changes made in the function by errors made in measurement.
In this activity, Anna continued to focus on related rates problems that used more geometric figures like cones, cylinders and spheres. These problems involved calculating changes in volume, radiuses and heights.
In this activity, Anna started her work with related rates problems. These problems analyze situations that are fluid and changing. These are problems that change with time, so derivatives are calculated using the chain rule.
In this activity, Anna solved word problems that are called related rates. These are difficult to understand because you're solving problems that are changing with respect to time. These problems are solved using implicit differentiation because each variable has a built-in function that changes the variable with time.
In this activity, Anna graphed several functions using first and second derivatives. First derivative determines intervals where the function is increasing and decreasing. The first derivative also determines local extreme. The second derivative determines concavity and points of inflection.
In this activity, Anna completed her review of;
implicit differentiation, chain rule and exponential and logarithmic differentiation. The next step is to learn when to use logarithmic differentiation as a convenience or a necessity.
In this activity, Anna focused on the rules of differentiation concerning all exponential and logarithmic functions. She used these functions to once again determine tangent lines.
In this activity, Anna completed her work with implicit differentiation
She also completed an activity that gave her extra practice problems using the chain rule, implicit differentiation and tangent lines.
In this activity, Anna determined derivatives using all major derivative rules; Power rule, Chain rule, Product Rule, Quotient rule along with the rules for trigonometric derivatives.In this exercise she also worked on simplifying the expressions.
