So there's two forms of differentiation.

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

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.

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

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?

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

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.

And notice that the derivative of psi with respect to x just using implicit differentiation is exactly this.

They've sequenced approximately equally as many people in Europe and in China.

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

For instance, neural stem cells from the brain, which are derived from ectoderm, can differentiate into ectoderm, mesoderm, and endoderm.

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

So the discriminant here is what? b squared is 9 minus 4, times a negative 1 times c, which is negative 6.

We see the discriminant is negative, there's no solution, which means that these two guys these two equations never intersect.

Those values have their origin in the Islamic faith, which prohibits discrimination and separation and encourages brotherhood and peace.

I've been asked implicitly differentiate the equation tangent of x over y is equal to x plus y.

But the geneticist Professor Steve Jones describes how Unilever actually did solve this problem trial and error, variation and selection.

Two commonly used CD molecules are CD4 and CD8, which are, in general, used as markers for helper and cytotoxic T cells, respectively.

The languages of Bhutan are still not well characterized, and several have yet to be recorded in an in depth academic grammar.

The degree of gender differentiation in a country depends primarily on the culture within that nation and its history.

Play increases creativity and resilience, and it's all about the generation of diversity diversity of interactions, diversity of behaviors, diversity of connections.

We just applied the chain rule multiple times and we were able to implicitly differentiate tangent of y over x is equal to x plus y.

It's got the same diversity you find actually in a pig brain, where you have 100 billion neurons.

At this stage the cells start to bind firmly together in a process called compaction, and cleavage continues as cellular differentiation begins.

So if b² 4ac, and this is what the discriminant really is, it's just this expression under the radical sign of the quadratic formula.

And if you found this to be a little confusing you might want to watch the video that we actually just did on implicit differentiation.

They can be propagated for extended periods of time and differentiated into both neuronal and glia cells, and therefore behave as stem cells.

But it's this process of trial and error that explains this great divergence, this incredible performance of Western economies.

Once again, let's look at the discriminant. b squared, that's negative 8 squared minus 4, times a, which is 1, times c, which is 16.

If they are given the right chemical environment these cells have the same ability as embryonic stem cells to develop into many different cell types.