Intervals of Concavity. Find the second derivative test of y=(5x+30)^(2/3). We learn how to find the x-coordinates of all points of inflection (POI), find all discontinuities, and find the open intervals where the function is concave up and concave down of y=(5x+30)^(2/3). We first determine where the function is discontinuous. We then take the second derivative of the function to find its critical points. We then apply the second derivative test to see where the function is concave up and concave down. This is a great introduction into the Second Derivative Test. This is under the topic of Applications of Differentiation with this free online math video lesson. #seconddderivativetest #pointsofinflection #poi #discontinuities #intervalsofconcavity #calculus #derivatives #minutemath #calculushelp<br /><br />Every Month we have a new GIVEAWAY that is FREE to Enter. See link below for details. You can enter Every Month!<br /><a href="https://www.minutemathtutor.com/current-giveaway" target="_blank" rel="nofollow">https://www.minutemathtutor.com/current-giveaway</a><br /><br />Subscribe to our YouTube Channel:<br /><a href="https://www.youtube.com/user/MinuteMath?sub_confirmation=1" target="_blank" rel="nofollow">https://www.youtube.com/user/MinuteMath?sub_confirmation=1</a><br /><br />Visit our website for links to all of our videos: <br /><a href="https://www.MinuteMathTutor.com" target="_blank" rel="nofollow">https://www.MinuteMathTutor.com</a><br /><br />Need a Math Tutor?<br /><a href="https://www.minutemathtutor.com/tutor" target="_blank" rel="nofollow">https://www.minutemathtutor.com/tutor</a><br /><br />Visit our STEM Store for all your Math and Science Gear: <a href="https://minutemathshop.com/" target="_blank" rel="nofollow">https://minutemathshop.com/</a><br /><br />Join our Discord Server for Math Talk and Math Help!<br /><a href="https://discord.gg/4TrHnzJ" target="_blank" rel="nofollow">https://discord.gg/4TrHnzJ</a><br /><br />Great Educational Resources Here:<br /><a href="https://www.minutemathtutor.com/resources" target="_blank" rel="nofollow">https://www.minutemathtutor.com/resources</a><br /><br />Nominate a Great Teacher Here:<br /><a href="https://www.minutemathtutor.com/nominate-your-teacher" target="_blank" rel="nofollow">https://www.minutemathtutor.com/nominate-your-teacher</a><br /><br />Have a Math Lesson you would like to add to our community of videos? Click here:<br /><a href="https://www.minutemathtutor.com/video-submissions" target="_blank" rel="nofollow">https://www.minutemathtutor.com/video-submissions</a><br /><br />Subscribe to our other Life and Finance/Business YouTube Channel:<br /><a href="https://www.youtube.com/channel/UCkpi6LiBAMAW0gUtRJfEL3Q?sub_confirmation=1" target="_blank" rel="nofollow">https://www.youtube.com/channel/UCkpi6LiBAMAW0gUtRJfEL3Q?sub_confirmation=1</a>.<br /><br />Consider supporting us on Patreon...<br /><a href="https://www.patreon.com/MinuteMath" target="_blank" rel="nofollow">https://www.patreon.com/MinuteMath</a><br /><br />Follow us for...<br />Tweets: <a href="https://twitter.com/minutemath" target="_blank" rel="nofollow">https://twitter.com/minutemath</a><br />Instagram: <a href="https://www.instagram.com/minutemath/" target="_blank" rel="nofollow">https://www.instagram.com/minutemath/</a><br />Facebook: <a href="https://www.facebook.com/MinuteMath/" target="_blank" rel="nofollow">https://www.facebook.com/MinuteMath/</a><br />Instagram Shop: <a href="https://www.instagram.com/minutemathshop/" target="_blank" rel="nofollow">https://www.instagram.com/minutemathshop/</a><br />Facebook Shop: <a href="https://www.facebook.com/MinuteMathShop/" target="_blank" rel="nofollow">https://www.facebook.com/MinuteMathShop/</a><br />Business and Personal Instagram: <a href="https://www.instagram.com/gannonforpresident/" target="_blank" rel="nofollow">https://www.instagram.com/gannonforpresident/</a><br />...<br /><a href="https://www.youtube.com/watch?v=HXABZlNSxP4" target="_blank" rel="nofollow">https://www.youtube.com/watch?v=HXABZlNSxP4</a>