Uploaded by Tommynnnnn on 29.11.2012

Transcript:

this is a ti 89 Titanium program app

uh... regarding

implicit differentiation

uh... 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

um...

press alpha, you have to press alpha before you enter anything in my menus or my

entry lines

uh... 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

uh... 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

um...

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

uh... 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?

every step calculus dot com check out my site

you'll love my programs and pass calculus

uh... regarding

implicit differentiation

uh... 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

um...

press alpha, you have to press alpha before you enter anything in my menus or my

entry lines

uh... 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

uh... 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

um...

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

uh... 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?

every step calculus dot com check out my site

you'll love my programs and pass calculus