How to Find Critical Points with Derivatives | Calculus 1 Exercises

We go over how to find critical points and critical numbers of a function using the derivative. In each problem we take the derivative of the function and determine where the derivative doesn't exist and where the derivative is equal to 0, these x coordinates are the critical numbers. We then plug these critical numbers into the original function to find the y coordinates so we can write the critical points. #calculus #apcalculus

How to Find Critical Numbers:    • How to Find Critical Numbers of Funct...  

Calculus 1 Exercises playlist:    • Calculus 1 Exercises  
Calculus 1 playlist:    • Calculus 1  

Join Wrath of Math to get exclusive videos, music, and more:
   / @wrathofmath  

0:00 Intro
0:47 Critical Points of 5x^2+4x
2:45 Critical Points of (y-1)/(y^2-y+1)
4:12 Critical Points of 2cosx+sin^2x

◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Abstract Algebra: https://amzn.to/3IjoZaO
Linear Algebra: https://amzn.to/43xAWEz
Calculus: https://amzn.to/3PieD1M
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd

★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons  
◆ Donate on PayPal: https://www.paypal.me/wrathofmath

Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!

Outro music is mine. You cannot find it anywhere, for now.

Follow Wrath of Math on...
● Instagram:   / wrathofmathedu  
● Facebook:   / wrathofmath  
● Twitter:   / wrathofmathedu  

My Math Rap channel:    / @mathbars2020