00:01
Okay, so for this function, and to find this derivative, we're just going to be using a chain rule here.
00:06
So what i'm going to do is i'm going to let u equal e to the power of 2x.
00:11
And i'm going to substitute end u for e to 2x, so we're going to have secant of u.
00:16
And i'm now going to take the derivative with respect to u.
00:19
So we're going to have the derivative of secan of u, so that's 1 divided by cosine u or cosine of u to the negative first power.
00:29
And so to find this derivative, it's just going to be a chain rule again.
00:33
We're going to take this negative 1.
00:34
We're going to bring it out front.
00:35
We're going to have negative 1 times cosine of u to the negative second power, and then times sine of u and then times u prime...