#Calcpad interval notation plus#
So the first of the Deer TV's This and the Saco the Curative is our tour times long off X plus three eso first for the increasing and decreasing interval which is set the first of the year A to be close to zero that gives us ah X equals toe meat to the miners. So for this program, we can first right out the first or the narrative and the steak on the narrative, Um, which we were used later. And we also see that we have inflection points at X equals one and actually equals negative So then that means we see that we have cock cape town from negative infinity to negative one. We get a negative for both here since the X greatest fire one there and there's a negative in front. We get That's positive to so plug in like -2 and two. So still side start with that on the second derivative there we see that lets you plug in zero.
So that simplifies to two x -2 x squared here. Okay, so top of that is equivalent to two plus two X squared. Now the second derivative is going to be able to two times one plus X squared, miss two X times two X. Okay, let's take a look at the second derivative. And so then we could see here that it's always decreasing from I think it infinity to zero and then it's increasing from zero to the affinity.
And so therefore what we have here, if we do a sign chart here, is that to the left of that be negative too right? That it's positive because one plus X squared is always positive there. So you see here that if we set equal to zero week in northern dominator and that would be the same thing as the setting two x equals zero, so X equals zero here. Let's take the first road out of this single to 1/1 plus X squared Times two X by Chain Rule. So for this we're trying to do a functional analysis.
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