This is a ti 89 Titanium program app. uh… regarding Implicit Differentiation. Let’s get started here
to enter my menu in my programs you have to press second alpha and then put the letters
i n d e x and then press alpha again enter the eight and the open and closed parentheses press enter and you’re into my menu many things on here, eliminating the parameter, e to the x integrals
anything you want for passing calculus and and uh… your homework we want, implicit differentiation and we’re going to enter our function. Press alpha, you have to press alpha before you enter anything in my menus or my entry lines alpha x cubed plus x squared times y cubed
minus three times y squared equals one. I show you what you’ve entered you can check your
entry here and see if it’s ok. I say it’s okay. And you notice within implicit differentiation your your taking the derivative of every term in that function on both sides and so we start take the first term take the derivative we take the second term but here’s a times sign between it, so we need to do the product rule on it and i show you how to do that here’s the formula, you write all this down on your paper f of x equals x squared, f prime of x equals two x g of x equals y cubed, g prime of x equals three y squared dy dx and here’s your answer if your professor doesn’t do that product rule and just comes up with this, then just put the answer down and then we continue with our derivatives of each term in that function and there’s the next one here’s the one on the equal sign, ya know, for the one and so differentiating both sides of the function. We get you write all this down
and here’s your answer now you can evaluate it at a point for instance you have to press alpha again. Let’s say press alpha four and alpha two show you again in case you made a mistake and then you write this notice you’re entering all the variables into your function and it shows you the slope of the line actually shows you also the the way the vector is pointing which is three hundred twenty eight degrees. Pretty neat huh? everystepcalculus.com. Check out my site, you’ll love my programs and pass calculus.