So in this case, n factorial was 7.

I'm gonna call you back.

I think this will help.

If this was just 3 was so 7 times 6 times 5 times 4 times 3 times 2 times 1.

Oh, actually, I made a mistake. y over x is equal to the natural log of x plus c.

You could say that the work is equal to 5 newtons times, I'll just write a dot for times.

And then to get to a cubed, what did we do?

And then to get to a to the fourth, what did we do?

To get that x plus one out of the denominator, we multiply both sides of this equation times x plus one over one times this side.

The time is 5 times 10 to the second seconds.

But of course, we're doing the chain rule.

Thank you.

And that makes sense because two to the three is two multiplying by itself three times, to the fifth is two multiplying by itself five times, and then we're multiplying the two, so we're going to multiply two eight times.

I'll call back soon.

Now, a squared literally means a times a.

You can say x plus five over one.

Hey, look, I gotta go. Can I call you later?

Why don't you wait?

So 7 minus 3 is 4, so 4 factorial.

Wherever we want to go, we could go arbitrarily we could scale a up by some arbitrary value.

When you're running you

And that sum I'm going to define as a times s.

So it was 7 times 6 times 5 times 4 times 3 times 2 times 1.

Look, somebody's gone to a lot of trouble here, and I intend to find out.

Is it practical?

If it's false, then the flag hit will valuate to zero, 1 hit will be 1.

And then the denominator will have the b.

But we can't just multiply the left hand side by x.

So once you pass c, this thing becomes a 1, and you're just

I'm just going to do minus a positive 3 times each of these.

And those white markings are not natural markings.

That is if you take two numbers that are pretty big and multiply them together that goes like a snap.

So this term the bottom left term is going to be this row times this column.

And the denominator would have been 2 times 2 times 2 (that's what 2 to the third power is) 2 times 2 times 2 times 5 times 5

Well, that's just 1 factorial.

So just to get the math here, so to get to this number right here, we just multiplied.

And, of course, the whole time you have that 5 sitting outside.

I'll call you when it's done.

So we actually can take the dot product or we can multiply these two.

Minus times minus 1 is positive 1.

But we can't just multiply one of the terms by x.

Since we did it on the left hand side we also have to do it on the right hand side, and this is just seven one, times x plus one over one.

I'm moving it 5 meters.

Let's also do this quickly, so that's one times one plus three times two.

So I'm multiplying negative 2 times both sides of this equation.