Standard #: MA.912.C.2.1


This document was generated on CPALMS - www.cpalms.org



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


Examples


Example: Find begin mathsize 12px style limit as h rightwards arrow 0 of fraction numerator left parenthesis 5 plus h right parenthesis squared minus 5 to the power of 2 end exponent over denominator h end fraction end style. What does the result tell you? Use the limit to determine the derivative function for begin mathsize 12px style f left parenthesis x right parenthesis equals x squared end style.

Related Courses

Course Number1111 Course Title222
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))


Related Resources

Tutorials

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.

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.

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.

Student Resources

Tutorials

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.

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.

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.



Printed On:4/25/2024 7:49:18 AM
Print Page | Close this window