How To Find The Equation of The Tangent Line With Derivatives

This calculus video tutorial explains how to find the equation of the tangent line with derivatives. It explains how to write the equation of the tangent line in point slope form and slope intercept form.

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:

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[chriswilliams]

"The derivative is the function that gives you the slope at any value of x".
That was a really solid way to explain the derivative in only one sentence thank you.

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[sofialototskyy]

Sooo helpful, thank you!! working on my summer calc AB packet with pre calc review and haven’t previously learned the equation of tangent lines. this was comprehensive and I was able to answer the questions I was stuck on

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[jovyjay]

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[martindesantiago]

Excellent video! For some reason I didn't remember how to write the final answer. The math itself is not too bad but great practice problems to help cement the terms and expressions.

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I'm just waiting for him to start calculus 2, since I'm there right now...

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[i_being_me]

Its 2023 and ! The video is helpful that even just ane night before exam it think I can solve for any tangent line equation after watching this video for once. Thanks a lot!

[luttrelskyg.montilla]

Why does other y sub 1 do not satisfy the equation? Both x and y are given. When I tried to substitute the x sub 1 to the equation, it is not equal to the y sub 1.