In the last Credit Unit we learned how to find the derivative of a function from numerical, graphical, and algebraic viewpoints. In this Credit Unit we will learned how to find derivatives quickly using short-hand techniques. In particular we will focus on three rules: the power rule, the sum/difference rule, and the constant rule as applied to a wide variety of functions. Special rules will be introduced for exponential and logarithmic functions. Lastly, we will apply our new techniques to marginal analysis.
Apply calculus to solve problems with confidence, persistence, and openness to alternate approaches.
Interpret and communicate the concepts of rates of change and derivatives.
Connect the graphical behavior, numerical patterns and symbolic representations of function and derivatives.
Recognize when and how to proficiently apply calculus tools to solve problems in business management, social sciences and and biological sciences.
Use a graphing calculator and/or other technology to solve applied problems.