This precalculus video tutorial provides a basic introduction into the difference quotient. It explains how to find the difference quotient of a function with fractions and how to find the difference quotient with square roots. This video contains plenty of examples and practice problems.
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Views: 68166
The Organic Chemistry Tutor

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! The Difference Quotient - Example 1. In this video, I give the formula for the difference quotient (aka, the subtraction fraction) and do a couple examples of finding it for different functions.
For more free math videos, visit http://PatrickJMT.com

Views: 606599
patrickJMT

Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the derivative of the function.
The difference quotient formula states that the derivative of a function f(x) is the limit as h goes to zer0 of the quotient of the diference between f(x + h) and f(x) and h.

Views: 5956
Brian McLogan

This video explains how to evaluate the difference quotient, and simplify it. Remember to put parentheses around the function that is being subtracted, so you do not lose any negative signs. For more videos please visit http://www.mysecretmathtutor.com

Views: 128955
MySecretMathTutor

Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the derivative of the function.
The difference quotient formula states that the derivative of a function f(x) is the limit as h goes to zer0 of the quotient of the diference between f(x + h) and f(x) and h.

Views: 74949
Brian McLogan

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! The Difference Quotient - Example 2. In this video, I give the formula for the difference quotient (aka, the subtraction fraction) and do another example of finding it for a quadratic function.
For more free math videos, visit http://PatrickJMT.com

Views: 253712
patrickJMT

The difference quotient is a crucial topic in the first semester of calculus. The topic is also covered in pre-calculus and college algebra. The video starts with the creation of the technique and then quickly follows with an example. For more math shorts go to www.MathByFives.com

Views: 38797
Mathbyfives

More Difference Quotient Examples in this free math video tutorial by Mario's Math Tutoring.
0:36 We review the formula for the difference quotient
0:56 Example 1
4:28 Example 2 we use the binomial expansion theorem in this problem
7:00 We discuss what the difference quotient actually represents
* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
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Views: 14887
Mario's Math Tutoring

Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the derivative of the function.
The difference quotient formula states that the derivative of a function f(x) is the limit as h goes to zer0 of the quotient of the diference between f(x + h) and f(x) and h.

Views: 11467
Brian McLogan

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How to Compute the Difference Quotient (f(x + h) - f(x))/h

Views: 36927
The Math Sorcerer

This video helps in understanding and finding the difference quotient for a given function, at any x value.

Views: 191
Osceola tutoring

From Thinkwell's College Algebra
Chapter 3 Coordinates and Graphs, Subchapter 3.7 Combining Functions

Views: 5881
ThinkwellVids

How to find the difference quotient using a point in this free math video tutorial by Mario's Math Tutoring. We go through an example in this video.
0:36 Formula for Finding the Difference Quotient at a Point
1:36 Example 1 Finding the Slope at (1,2) on f(x)=sq. rt.(x + 3)
3:06 Rationalizing by Multiplying by the Conjugate
4:40 Interpreting the Result
Related Videos:
More Difference Quotient Examples
https://youtu.be/6dsbN8ZW3lM
Tangent Line Using Difference Quotient
https://youtu.be/Rs9wLm9g91o
Finding Turning Points Using Difference Quotient
https://youtu.be/MKvASOAGJVA
Looking to raise your math score on the ACT and new SAT?
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Views: 989
Mario's Math Tutoring

PreCalculus introduction to the Definition of the Difference Quotient
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

Views: 86599
ProfRobBob

This video shows 3 different formulas for the Difference Quotient and then goes through 2 examples of evaluating the Difference Quotient.

Views: 1506
Cole's World of Mathematics

How to find the equation of the Tangent Line Using the Difference Quotient. We discuss an example of how to use the difference quotient to find the derivative and from there use the point slope form of a line to write the equation of the tangent in this free math video tutorial by Mario's Math Tutoring.
1:22 Using the Difference Quotient to Find the Slope of the Line
3:40 Using the Point Slope Form to Write the Equation of the Line
Related Videos:
What is a Derivative
https://youtu.be/wUZcIYx-7a4
More Difference Quotient Examples
https://youtu.be/6dsbN8ZW3lM
Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at
http://mariosmathtutoring.teachable.com
For online 1-to-1 tutoring or more information about me see my website at:
http://www.mariosmathtutoring.com
* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
http://www.mariosmathtutoring.com/free-math-videos.html

Views: 2882
Mario's Math Tutoring

Quotient of functions and factoring by grouping
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/e/functions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
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Views: 390000
Khan Academy

Shows two examples of finding the difference quotient of a polynomial function.

Views: 7907
ValenciaMathJoel

Finding the difference quotient when your function is a fraction can be confusing, but there's actually a really easy way to handle it!
You'll need to find the difference quotient the same way you would for any other kind of non-fraction function, to start. The thing that makes these problems tricky is that, when you do that, you'll end up with "little fractions" inside of a "big fraction".
The trick to getting rid of those little fractions is to multiply both the numerator and denominator of the big fraction by the common denominator of the little fractions. That way, you'll get the fractions to cancel out in one simple, quick step.
Then you'll just be able to multiply out and simplify the numerator, and then hopefully cancel out an "h" from the numerator and denominator. This is a process that will work every time when you're trying to find the difference quotient for a fraction.
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
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Views: 30565
Krista King

How to find the Derivative Using Difference Quotient in this free math video tutorial by Mario's Math Tutoring. We discuss what a derivative is and how it relates to the slope of the tangent line as well as we go through two examples.
0:30 What is a Derivative
1:45 Slope Formula
2:36 Notation of a Derivative
2:56 Formula for the Difference Quotient
4:07 Example 1 f(x)=2x-3 Finding the Derivative
5:53 Example 2 f(x)=x^2 + 2x Finding the Derivative
8:23 Using the Derivative to Find the Slope Along the Graph
Related Videos:
More Difference Quotient Examples
https://youtu.be/6dsbN8ZW3lM
Finding the Equation of the Tangent Line Using Difference Quotient
https://youtu.be/Rs9wLm9g91o
Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at
http://mariosmathtutoring.teachable.com
For online 1-to-1 tutoring or more information about me see my website at:
http://www.mariosmathtutoring.com
* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
http://www.mariosmathtutoring.com/free-math-videos.html

Views: 4453
Mario's Math Tutoring

Two worked-out examples of using the Difference Quotient with slightly harder functions: a quadratic trinomial and a rational function. In these examples it is more important that when simplifying we get h out of the denominator.
(Recorded on a laptop's webcam, thus the soft focus.)

Views: 79729
MathWOEs

This video provides an example of how to find the difference quotient for a quadratic function.
Site: http://mathispower4u.com

Views: 5379
Mathispower4u

This video goes through 2 examples of how you take the Limit of the Difference Quotient.
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Views: 4443
Cole's World of Mathematics

This Fort Bend Tutoring [fbt] Live Stream covers finding the difference quotient. The Difference Quotient is discussed in College Algebra, Precalculus and College Algebra courses. Feel free to participate, ask questions and donate using the Super Chat feature on a laptop or desktop or the PayPal donation link below. Instruction by Larry "Mr. Whitt" Whittington.
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Views: 7114
Fort Bend Tutoring

Views: 5699
Brian McLogan

Views: 286
Brian McLogan

Shows how to find the difference quotient for f(x)=1/x

Views: 17059
ValenciaMathJoel

Views: 72653
NotesCollegeAlgebra

This video provides an example of how to find the difference quotient for a linear function.
Site: http://mathispower4u.com

Views: 38969
Mathispower4u

Shows how to find the difference quotient for f(x)=sqrt(x)

Views: 9803
ValenciaMathJoel

► My Derivatives course: https://www.kristakingmath.com/derivatives-course
Learn how to calculate the difference quotient of a function at a particular point. Use the difference quotient formula.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
FACEBOOK // https://www.facebook.com/KristaKingMath
TWITTER // https://twitter.com/KristaKingMath
INSTAGRAM // https://www.instagram.com/kristakingmath/
PINTEREST // https://www.pinterest.com/KristaKingMath/
GOOGLE+ // https://plus.google.com/+Integralcalc/
QUORA // https://www.quora.com/profile/Krista-King

Views: 43111
Krista King

This video provides an example of how to find the difference quotient for a quadratic function.
Site: http://mathispower4u.com

Views: 69264
Mathispower4u

A http://www.door2math.com production.
f(x+h)-f(x)/h for f(x)=2x^2+3

Views: 261913
TucsonMathDoc

This calculus video tutorial shows you how to use limit process / definition of the derivative formula to find the derivative of a function that contains square roots and fractions. This video contains plenty of examples and practice problems.
Here is a list of topics:
1. Derivative of constants and monomials - power rule review
2. Constant Multiple Rule - Derivatives
3. How to find the derivative of the function using the limit process / difference quotient
4. f'(x) and f'(a) limit derivative formula
5. Derivative of x^2, x^3, 1/x, sqrt(x) and 1/sqrt(x), x^4
6. Factoring Techniques - Difference of Squares and Cubes Method
7. Derivatives of Polynomial, Rational, and Radical Functions
8. Multiplying Fractions By Common Denominators and Radicals By the Conjugate
9. Finding the function using the limit difference quotient
10. Alternative definition of derivative

Views: 90375
The Organic Chemistry Tutor

Views: 518
Brian McLogan

This is a topic level video of Finding a Difference Quotient for a Rational Function for the Global Freshman Academy.
Join us!
https://www.edx.org/course/college-algebra-problem-solving-asux-mat117

Views: 208
Global Freshman Academy

Views: 124
Jenna Van Sickle

Compute and simplify the difference quotient.

Views: 275
Homer Colunga

This video is for beginning calculus students. We use the limit of the difference quotient to find the slope of the tangent line to a curve. This involves simplifying a complex rational expression (complex fraction). Then we use the point and slope to find the equation of the tangent line.

Views: 127
Ms. Hearn

Views: 12784
Brian McLogan

This is Eric Hutchinson from the College of Southern Nevada. This video will show how to find the difference quotient. This lecture video accompanies the electronic notes I have here: http://sites.csn.edu/ehutchinson/Notes/1_8NOTES126M.pdf

Views: 359
Eric Hutchinson

This video screencast was created with Doceri on an iPad. Doceri is free in the iTunes app store. Learn more at http://www.doceri.com

Views: 2189
Mark Dwyer