MA.912.C.2.1

State, understand and apply the definition of derivative. Apply and interpret derivatives geometrically and numerically.

Examples

Example: Find . What does the result tell you? Use the limit to determine the derivative function for .
General Information
Subject Area: Mathematics (B.E.S.T.)
Strand: Calculus
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Tutorials

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.

Type: Tutorial

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.

Type: Tutorial

Derivative as Slope of a Tangent Line:

We will find the derivative of a function by finding the slope of the tangent line.

Type: Tutorial

Mean Value Theorem:

In this video we will take an in depth look at the Mean Value Theorem.

Type: Tutorial

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.

Type: Tutorial

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.

Type: Tutorial

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Tutorials

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.

Type: Tutorial

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.

Type: Tutorial

Derivative as Slope of a Tangent Line:

We will find the derivative of a function by finding the slope of the tangent line.

Type: Tutorial

Mean Value Theorem:

In this video we will take an in depth look at the Mean Value Theorem.

Type: Tutorial

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.

Type: Tutorial

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.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.