Implicit Differentiation Calculator With Steps
Raw Transcript
Hello everyone; Tom from everystepcalculus.com and everystepphysics.com. Don’t forget physics. I have turned through the use of my programs, or for programming, your titanium calculator into an implicit differentiation calculator with steps. And that’s exactly what my programs do. So let’s do it. Index8() to get to my menu. I’m already at implicit differentiation. I’ve scrolled there. On your titanium, if you want to go to my menu and go down quickly, you hold the 2nd button down here and then use the down cursor here. We’re already at that, so. And then enter the function. You have to press alpha before you enter anything in these entry lines here. And the problem is alpha Y squared plus 3 times X minus 8 times Y plus 3 equals 0. Now it will show you what you’ve entered, and you change it if you want. I say it’s okay. You’re differentiating all of the terms on both sides of the equals sign. You must have a 0 or a constant on the right of the equals sign. You have to use the algebra to make that happen if they give you a more difficult problem, or a different look at a problem. And so we differentiate each one of the terms. I do that for you; you write this on your paper as we go through it, exactly as you see it here. And we combine the DY DX terms, separate it from the other terms, and here’s the answer right here. Now we want to evaluate it at a point, so we’re going to press the X value is alpha 4 and alpha 3. I show you that also; it looks good to me. So we’re substituting 4 and 3 for the X and the Y values and then find the derivative. Cut them to one half and the slope of the line is 333 degrees. That means that the slope is going to be here’s 360 going this way. Here’s 270 going down. So the slope is going to be like this. Pretty neat, huh? Everystepcalculus.com. Go to my site. Buy my programs if you want help passing calculus. Or subscribe to enjoy more videos that I might make. Have a good one.
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