How to Find The Point Where The Graph has a Horizontal Tangent Lines Using Derivatives

This calculus video tutorial explains how to find the point where the graph has a horizontal tangent line using derivatives. This video contains a few examples and practice problems.

Derivative Applications - Free Formula Sheet:

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Derivatives - Fast Review:

Equation of the Tangent Line:

Derivatives - Horizontal Tangent Line:

The Equation of The Normal Line:

The Equation of The Secant Line:

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Average and Instantaneous Velocity:

Instantaneous Rate of Change:

Derivatives of Rational Functions:

Derivatives of Radical Functions:

Derivatives of Fractions:

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Derivatives - Higher Order:

Simplifying Derivatives:

Derivatives - The Product Rule:

Derivatives - The Quotient Rule:

Derivatives - The Chain Rule:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

Derivatives - Formula Sheet:

[-frcracked-]

Wow I mean the first 3 minutes are what I needed and you taught it better in 3 minutes than my hour long college class. It's so easy!

[georgesadler]

Professor Organic Chemistry Tutor, thank you for an exceptional video/lecture on How To Find the Point Where the Graph has Horizontal Tangent Lines Using Derivatives.

[catherinesilva]

Thank you so much'!! i couldnt find a french video for this but your’s was really simple to understand!

[joshhagan]

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[richardadamwais]

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[mohayusuf]

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i really find your videos very helpful thank you.

[yasinsoylemez]

you're an amazing teacher slash genius

[fetachea]

This was very, very helpful.
Thanks a lot!

[kylea]

You need to have a Nobel peace prize I'm not joking.

[Jose-wdkn]

0:01 shouldn't the question be worded "determine the POINT at which..." since a tangent line touches a curve at a single point not two?

[haiha]

Thank you very much! This’s very helpful for me

[FranciscoRamirez-mvdq]

Not all heroes wear capes !! thank you from my heart☺❤.

[qmcboss]

what if the function your trying to solve for cant be factored?

As you said that a tangent line touches the curve in just one place only. But here if we extend the tangent line then it is intersecting the curve in one more place. So, whether it will become secant in that case? or it is not a tangent? Otherwise what is the most appropriate definition of tangent?

[lunargeographer]

You're a god for this man I needed this.

[jacquelinealmazan]

If you can please do this with rational expressions

[billsanchez]

If f(x) = (x^2-3)^4, how would I find the values of x for which the graph of f has a horizontal tangent?

[lanadelray]

My teacher said if two points have same y value and if both of these have zero slope then there will be one tangent line to both, but isn’t it wrong ? I say it’s wrong because tangent touches curve at only one point, a line can’t be tangent to two points
So there will be still two horizontal tangents, who is right ?

[wjrasmussen]

cant you factor that as (3x +1)(2x-3)?

[Sabrnurani]

Why is the audio so low, am I the only one with this problem?