And let's calculate the discriminant.

The discriminant is positive.

Over millions of years, variation and selection, variation and selection trial and error, trial and error.

Over millions of years, variation and selection, variation and selection trial and error, trial and error.

And so, we can evaluate the discriminant!

So our discriminant in this situation is

So there's two forms of differentiation.

They just care about three things and three things only price, price and price.

We learned that in implicit differentiation.

Now I just used a word, and that word is discriminant.

The discriminant can be kind of a useful shortcut.

Price.

Price

Price

At what price?

All I care about is my discriminant is positive.

If we wanted to, we could have just looked at the discriminant.

The discriminant is this part b squared minus 4ac.

So they all start to replicate and they also differentiate differentiate means they start taking particular roles.

Price Quotation

I'll double the price.

You set the price.

Efforts need to be made to look for ways of increasing service differentiation.

Use the discriminant to state the number and type of solutions for the equation

And so just as a reminder you're probably wondering what is the discriminant?

So let's just remember what the product rule of differentiation was.

Look at the price.

Price, Derek deSolla.

Affordability

The price is . . .

How would I think about how much I'm going to get off of that 20 ?

You can name the price.

Price 17 and 9.

I mean, the price maybe?

You see that price there?

You bid against me?

At what price?

Price is going up.

What is the price?

So we're dealing with a situation where the discriminant is equal to 0.

So if the discriminant is greater 0, then that tells us that we have two solutions.

So if you're in a situation like that, I can just look at the discriminant.

So now let's take that intuition and tackle some implicit differentiation problems.

Long distance telephone service sold on price, price, price fast food restaurants with all their value pricing and even the Internet is commoditizing not just goods, but services as well.

Affordability 8