# Here is an example of a Implicit Differentiation test problem solved by the TI-89

### Raw Transcript

Hello this is Tom for EveryStepCalculus.com again. I’m gonna do implicit differentiation, and this is a test problem that a person sent me and tried. Didn’t do very well at. Would have done well with my program but I’m gonna show you how to do that.

or how it would have been solved if he had my programs um… index 8 to get to my

menu

and we press enter, were already on implicit differentiation

so I’m going to go there you can scroll that and

gonna add the

function, or equation

you have to press alpha before you enter anything in my entry lines in my

programs

Your going to press alpha, and put in

X cubed

plus 3

times X squared

times y

plus y cubed

equals 8

It’ll show you what you have entered

you can change it if you want, I say it’s okay

and your taking the differentiating both sides

d/dx of x cubed, d/dx of 3 times x squared times y, d/dx y cubed and 8

this is product rule because you have a times sign between there

I do each one for you

d/dx of x cubed is equal to 3x squared

you write all this on your paper d/dx of 3 x squared times y

I use the product rule…

and I show you that if you wanna the all

the formula for product rule, here’s the answer

6xy plus this

dy/dx of course and then

y cubed etc…

mark everything down on your paper and then the other side d/dx of 8 is equal to

0 this is the equation here

your separating dy/dx in certain sections

keeping the other ones without dy/dx in another section of the equation

and so here’s your answer

-3x squared minus 6xy you write all this on your paper

you get an A in this problem pretty neat huh? every step calculus dot com goto my site,

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