Code | Description |
MAFS.912.C.2.1: | Understand the concept of derivative geometrically, numerically, and analytically, and interpret the derivative as an instantaneous rate of change or as the slope of the tangent line. |
MAFS.912.C.2.2: | State, understand, and apply the definition of derivative. |
MAFS.912.C.2.3: | Find the derivatives of functions, including algebraic, trigonometric, logarithmic, and exponential functions. |
MAFS.912.C.2.4: | Find the derivatives of sums, products, and quotients. |
MAFS.912.C.2.5: | Find the derivatives of composite functions using the Chain Rule. |
MAFS.912.C.2.6: | Find the derivatives of implicitly-defined functions. |
MAFS.912.C.2.7: | Find derivatives of inverse functions. |
MAFS.912.C.2.8: | Find second derivatives and derivatives of higher order. |
MAFS.912.C.2.9: | Find derivatives using logarithmic differentiation. |
MAFS.912.C.2.10: | Understand and use the relationship between differentiability and continuity. |
MAFS.912.C.2.11: | Understand and apply the Mean Value Theorem. |
Name | Description |
Calculus: Derivatives 1: | In this video we will learn through an example, that a derivative is simply the slope of a curve at any given point. |
Calculating Slope of Tangent Line Using Derivative Definition: | In this video we will find the slope of the tangent line using the formal definition of derivative. |
Mean Value Theorem: | We will learn the meaning of the Mean Value Theorem. |
Derivative as Slope of a Tangent Line: | We will find the derivative of a function by finding the slope of the tangent line. |
Mean Value Theorem: | In this video we will take an in depth look at the Mean Value Theorem. |
The Derivative of f(x)=x^2 for Any x: | In this video we will find the derivative of a function based on the slope of the tangent line. |
Using the Product Rule and the Chain Rule: | In this video we will use the chain rule and the product rule together to find a derivative of a composite function. |
The Product Rule for Derivatives: | In this video will will apply the product rule to find the derivative of two functions. |
Product Rule for More Than Two Functions: | In this video, we will use the product rule to find the derivative of the product of three functions. |
Derivative of Log with Arbitrary Base: | In this video, we will find the derivative of a log with an arbitrary base. |
Chain Rule for Derivative of 2^x: | Here we will see how the chain rule is used to find the derivative of a logarithmic function. |
Chain Rule Introduction: | This video is an introduction on how to apply the chain rule to find the derivative of a composite function. |
Chain Rule Definition and Example: | In this video we will define the chain rule and use it to find the derivative of a function. |
Chain Rule With Triple Composition: | We will use the chain rule to find the derivative of a triple-composite function. |
Chain Rule Example Using Visual Information: | In this video we will analyze the graph of a function and its tangent line, then use the chain rule to find the value of the derivative at that point. |
Chain Rule Example Using Visual Function Definitions: | We will use the chain rule to find the value of a composite function at a given point, given the graphs of the two composing functions. |
Name | Description |
MIT BLOSSOMS - The Physics of Boomerangs: | This learning video explores the mysterious physics behind boomerangs and other rapidly spinning objects. Students will get to make and throw their own boomerangs between video segments! A key idea presented is how torque causes the precession of angular momentum. One class period is required to complete this learning video, and the optimal prerequisites are a familiarity with forces, Newton's laws, vectors and time derivatives. Each student would need the following materials for boomerang construction: cardboard (roughly the size of a postcard), ruler, pencil/pen, scissors, protractor, and a stapler. |
Name | Description |
Derivative Plotter: | This online applet that depicts the derivative of a given function. Can use demo examples or a user-defined function. |
Title | Description |
Calculus: Derivatives 1: | In this video we will learn through an example, that a derivative is simply the slope of a curve at any given point. |
Calculating Slope of Tangent Line Using Derivative Definition: | In this video we will find the slope of the tangent line using the formal definition of derivative. |
Mean Value Theorem: | We will learn the meaning of the Mean Value Theorem. |
Derivative as Slope of a Tangent Line: | We will find the derivative of a function by finding the slope of the tangent line. |
Mean Value Theorem: | In this video we will take an in depth look at the Mean Value Theorem. |
The Derivative of f(x)=x^2 for Any x: | In this video we will find the derivative of a function based on the slope of the tangent line. |
Using the Product Rule and the Chain Rule: | In this video we will use the chain rule and the product rule together to find a derivative of a composite function. |
The Product Rule for Derivatives: | In this video will will apply the product rule to find the derivative of two functions. |
Product Rule for More Than Two Functions: | In this video, we will use the product rule to find the derivative of the product of three functions. |
Derivative of Log with Arbitrary Base: | In this video, we will find the derivative of a log with an arbitrary base. |
Chain Rule for Derivative of 2^x: | Here we will see how the chain rule is used to find the derivative of a logarithmic function. |
Chain Rule Introduction: | This video is an introduction on how to apply the chain rule to find the derivative of a composite function. |
Chain Rule Definition and Example: | In this video we will define the chain rule and use it to find the derivative of a function. |
Chain Rule With Triple Composition: | We will use the chain rule to find the derivative of a triple-composite function. |
Chain Rule Example Using Visual Information: | In this video we will analyze the graph of a function and its tangent line, then use the chain rule to find the value of the derivative at that point. |
Chain Rule Example Using Visual Function Definitions: | We will use the chain rule to find the value of a composite function at a given point, given the graphs of the two composing functions. |