Category: Class Recaps (Page 1 of 7)

Current Topics

Please do the WebWork and work on the Final Exam Review exercises for the following topics!

Boardshots

We an example of logarithmic differentiation (i.e., using the properties of logarithms (specifically “ln”) to simplify and differentiate functions of the form y = f(x)^g(x) )

We then introduced the concepts of maxima and minima, and showed how we can find them by solving for the critical points, i.e., the x-values where f'(x) = 0. We started an example that we will finish on Wednesday:

Schedule

Boardshots

We reviewed the properties of logarithms, and showed how we can use them, together with the chain rule, to carry out logarithmic differentiation. We also introduced implicit differentiation, for finding dy/dt when y is given “implicitly” as a function of x via an equation:

Boardshots

We did a few additional examples from the “Derivatives – Exponential” and “Derivatives – Logarithms”, and introduced the properties of logarithms that we will use for logarithmic differentiation: