Show second derivative

The second derivative.

Or the second derivative.

What's the second derivative?

So our second derivative is the derivative of this.

Well, the highest derivative here is the second derivative.

So, we get 4i plus... and then the derivative the second derivative, or the second derivative of y with respect to t is just the derivative of the first derivative.

And what's the second derivative?

This was the second derivative.

Let's do our second derivative.

That was our second derivative.

The second derivative is 0.

What is the second derivative?

Our second derivative is positive.

The second derivative was positive.

And what's the second derivative?

Well, the second derivative is just the slope of the derivative.

And that is our second derivative.

So the second derivative is that.

The second derivative would be 2A.

Your derivative of the first term, derivative of x is 1 times the second term plus the derivative of the second term times the first term.

What's the derivative of the second term?

So let's figure out the second derivative.

The second derivative is equal to what?

Let's take the second derivative of that.

And what would be a second derivative?

It's the derivative of the first expression times the second expression plus the derivative of the second expression times the first.

So just to review our terminology, y is the second order because the highest derivative here is the second derivative, so that makes it second order.

But now let's move to the second derivative.

So what's happening to the second derivative here?

Now we have to get the second derivative.

Then that equals the derivative of the first times the second function, plus the first function times the derivative of the second.

So over this interval, our second derivative is less than zero, but then we go concave upwards, so our second derivative has to be greater than zero over this interval, which implies if our second derivative is continuous, that the second derivative had to be equal to zero at that point.

We know the solution to the second derivative minus 3 times the first derivative minus 4y.

Well, derivative of x to the negative 1, we'll take the derivative of the first one times the second thing, and then the derivative of the second thing times the first thing.

So let's set the numerator of the second derivative.

Remember, that's just the numerator of our second derivative.

What is the second derivative going to be doing?

But what happens above and below the second derivative?

And that's the Laplace transform of the second derivative.

So let's figure out what the second derivative is.

Well a second derivative would be 2Ax plus B.

The second derivative of y minus 3 times the first derivative y minus 4 times the function.

And this, of course, is just going to be equal to the derivative of x of the derivative of x the second derivative of x(t) is just the derivative of the first derivative.

We have second derivative of y, plus 4 times the first derivative, plus 4y is equal to 0.