Raw Transcript
okay this the US and concavity with respect you sketching graphs by hand and calculus and ago go over the concavity test and put in a concave function you know or a function so we can check cavity check concave up concave down and so let’s get started you have to press 2nd L for to get into my menu and then you have to add I and the X you know for the letters and then you press alpha and then you put in the number eight and then they close parentheses left and great pride to seize any press ENTER and we’re into the menu he were interested in kind cavities are we gonna go to number eight your press number eight and here we have the different different things that we can do with the function as we enter the function so I always tell people to start a graph paper star in your you know because this is a test and you’re gonna put your graph in your city mark these different points on the graph as you go enter the function its that senator here alpha have to enter alpha before you enter anything here X cue -6 times X where plus guy times X us to shows you what we’ve entered you can say okay or change it I say it’s okay and then we’re gonna choose never to kind cavity oppressed number two but were in the concavity sure you definitions have concave up or down you notice that this is a maximum point appears so that we’re going to have a concave down and if this is a minimum point you have concave up Harry involved in the second derivative so we find the second review function XQ minus X 6x squared last night experts to and we find our first first X where tax equals which is actually critical point or inflection point I’m sorry inflection point the x value you can find inflection point it’s another part of the program so with every we have to have a number greater than to inflection point to see where this concave upward our handwritten into the second derivative 6 times three -12 when we come up with six and that’s positive so concave up and then we’re gonna get a number less than the inflection point FX less than 2 choose one and the second really plugged in the second derivative market stuff on your paper going don’t leave anything out or as everything’s partial credit and calculus so anything you mark down correctly you get credit for it and this because it’s a negative sexy was a concave down so I should be there from Infinity 22 its concave down years inflection exploit and above that to to infinity is concave up for any every step calculus that come check out my site check out my program you love them
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