There's a minus sign.

Distribute the minus sign.

Put a minus sign.

There's a minus sign over here, and the minus sign is inherited from the minus sign inside the logarithm using the chain rule of differentiation.

The first thing is the minus sign.

We're going to have that minus sign.

Therefore, there is a minus sign over here.

And now I can distribute this minus sign.

Treat the minus sign as part of a word

Here we can optionally start with a minus sign.

All I did is, I distributed the minus sign.

The chain rule, derivative of cosine is minus sign.

And then we could have distributed the minus sign.

Now a minus sign that doesn't seem particularly relevant.

And I can just leave this as a minus sign.

Now, the reason why there is a minus sign is tricky.

So you end up with minus 20 under the radical sign.

Just to walk through these again, this part, the optional minus sign, catches either this minus sign or the nothing that's in front of this 3.

And then when you apply the minus sign, it becomes this cofactor.

So we get 5 plus 5 8, and then we distribute the negative sign, minus 2 minus 1 5.

So minus all of this, but we already have a minus sign here, so we could write a plus.

There's no way to get a minus sign without an exp before it.

The minus sign can only occur at the beginning, and it's also optional.

The other one would have been if you had a minus sign here.

So negative 3 minus 25, we are adding two integers of the same sign.

The other one would be if the minus sign was the other way around.

So we'll put that minus sign there so that we haven't fundamentally changed the expression.

There's a minus sign in there, so it would be a really big negative number.

Put a minus sign in front of it, and you have a hugely negative number.

The minus sign tells you that the higher the number, means the lower the flux.

We might see parentheses right after seeing a minus sign that's valid for this language.

I'm literally dropping the minus sign. I want all numbers to be positive in this example.

Sign

Sign

Sign

sign

Plus, minus, plus, minus, plus, minus, plus, minus, plus.

Cosine of x you take the derivative, you go to minus sign of x, you take the derivative again then you to minus cosine of x, then you take the derivative again then you get a plus sign of x.

The equals sign is an equals sign.

Japanese sign language and pidgin sign Japanese.

Minus 6, minus 16, that's minus 22.

Minus 3 minus 4 is minus 7.

Minus 4, minus 4 is minus 8.

Minus another minus 2 is minus 4.

So please don't worry about the minus sign that might not occur in this specific version of the equation.