Unit 2
Intro
Intro
Differentiation is one of the most important processes of calculus. Each section involves new methods and rules for finding derivatives of functions. These rules can be used to find such things as velocity, acceleration, and the rates of change of two or more related variables.
Unit 2 Podcast (coming soon)
Unit 2 Podcast (coming soon)
Relating Limits to Derivatives
Relating Limits to Derivatives
Derivative Rules
Derivative Rules
Derivatives of Different Forms of Equations
Derivatives of Different Forms of Equations
Videos
Videos
2.A. Secant Lines and Tangent Lines
2.A. Secant Lines and Tangent Lines
- Secant Lines and Tangent Lines (conceptual)
- Equation of a Tangent Line (conceptual)
- Equation of a Tangent Line (example problem)
- Checking a Derivative on a Calculator
- Finding the Equation of a Tangent Line on a Calculator
- Derivative (conceptual)
- Finding Slope at a Point (example problem 1 of 2)
- Finding Slope at a Point (example problem 2 of 2)
- Derivatives of a Polynomial using Limits (example problem)
- Derivatives of the Square Root of x Function Using Limits (example problem)
- Derivative of Absolute Value Function using Limits (example problem)
- Derivative of Sine and Cosine (conceptual)
2.B. Basic Differentiation Rules
2.B. Basic Differentiation Rules
- Derivative Rules - Constant Rule (conceptual)
- The Constant Rule (example problem)
- Derivative Rules - Power Rule (conceptual)
- The Power Rule (example problem)
- Derivative Rules - Constant Multiple Rule (conceptual)
- The Constant Multiple Rule (example problem)
- Derivative Rules Sum and Difference Rule (conceptual)
- Exponential and Logarithmic Function Review
- Derivative and Antiderivative of a^x (conceptual)
- Derivative and Antiderivative of e^x (conceptual)
- Differentiation of the Natural Logarithmic Function (conceptual)
2.C. Product/Quotient Rule
2.C. Product/Quotient Rule
2.D. Chain Rule
2.D. Chain Rule
2.E. Implicit Differentiation
2.E. Implicit Differentiation
