A rival.

And let's calculate the discriminant.

The discriminant is positive.

Because I've got a rival?

Do I have a rival?

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

Iran s New Contender

It is a competitive alternative to degradation.

(Laughter) And now I know I am completely competent.

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.

Is it cost competitive?

No rival, no peer.

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.

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.

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?

As a result, no rival to Rahul Gandhi has emerged.

Sometimes I think I'd prefer a rival of flesh and blood.

Watch Croton. He's killed over 300 opponents.

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

But you better move fast you've got some competition.

A rival, huh? Well, I hope they're all that size.

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.

Democracy today has no rivals, but it is losing support.

I am totally, completely competent, is damning yourself with the faintest of praise.

Because you now see me as a rival, not as a son.

So there's just going to be multiple versions of this guy.

So, will China s plan for transforming the renminbi into an international rival to the dollar succeed?

The United States was now an undisputed superpower with no rival.

In 1894, the owner was murdered by a rival collector... who was obsessed to own it.

Mariusz Pudzianowski is a highly successful strongman competitor and has won more World's Strongest Man titles than any other competitor in the world, winning the event in 2008 for the fifth time.

However, the lack of vendors' support is preventing it from being a real competitor.

So if the discriminant is equal to 0, you only have one solution.