00:01
Okay, so we're going to be using implicit differentiation to find the value of y prime here.
00:06
The important thing to remember is when we take the derivative of this left side, x times y, then that is going to be a product rule derivative.
00:14
So we're going to take the derivative of x, which is one.
00:17
We're going to multiply it by y, and then we're going to add x times the derivative of y, and the derivative of y is y prime here.
00:24
And then on the left side, we're going to have the derivative, or on the right side, so we're going to have the derivative of each.
00:30
To the power of y, which is itself e to the y, and then multiplied by y prime.
00:37
We treat y as if it were a variable x, however, the derivative of y isn't one...