A basic understanding of Derivatives based on how they let us determine instantaneous rates of change, as opposed to average rates of change we can get from Algebra.
Know how the slope of the tangent line is affected through various operations.
This unit is fundamentally about building a basic understanding of Derivatives so that they can be utilized in later units such as Contextual Applications of Differentiation and Analytical Applications of Differentiation to actually solve “real” problems.
Topics
- Definition of a Derivative
- Derivatives with Continuity
- Power Rule
- Mathematical Rules of Derivatives
- Derivatives of sin, cos, exponentials and logs
- product rule
- quotient rule
- derivatives of tan, cotangent, secant, and cosecant functions