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Hyperlinks are for content teachers
Big Idea:
Big Idea:
Derivatives
Student Expectations:
Student Expectations:
Focus Standards
Focus Standards
EU 2.1: The derivative of a function is defined as the limit of a difference quotient and can be determined using a variety of strategies.
- EK 2.1C2: Specific rules can be used to calculate derivatives for classes of functions, including polynomial, rational, power, exponential, logarithmic, trigonometric, and inverse trigonometric.
- EK 2.1C6: The chain rule can be used to find the derivative of an inverse function, provided the derivative of that function exists.
- EK 2.1C7: (BC) Methods for calculating derivatives of real-valued functions can be extended to vector-valued functions, parametric functions,
and functions in polar coordinates.
EU 2.3: The derivative has multiple interpretations and applications including those that involve instantaneous rates of change.
- EK 2.3C1: The derivative can be used to solve rectilinear motion problems involving position, speed, velocity, and acceleration.
- EK 2.3C4: (BC) Derivatives can be used to determine velocity, speed, and acceleration for a particle moving along curves given by parametric or vector-valued functions.
Student Learning Targets:
Student Learning Targets:
- I will solve problems involving rectilinear motion.
- I will solve problems involving planar motion. (BC)
- I will calculate derivatives of exponential functions.
- I will calculate derivatives of logarithmic functions.
- I will calculate the derivative of the inverse of a function at a given point.
Essential Questions:
Essential Questions:
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