00:01
So for this problem, it's worded a little strangely, but the main thing to note here is that we're asked to find an equation to the tangent line for the derivative.
00:10
So it's going to be treated exactly how we would.
00:12
And a normal problem, we're just going to be deriving it first and then doing a normal tangent, or a tangent line problem.
00:18
So in this case, the derivative x to fourth is 4x cubed.
00:22
We know that the equation for a line to the tangent is going to be y is equal to f prime of 3 in this case, because we've taken our point x equals 3.
00:30
Multiplied by x minus 3 plus the function at 3.
00:34
And now since we're doing the tangent line for the derivative, this would be the second derivative at 3 and the original derivative at 3.
00:41
So we need to find the second derivative and then plug in 3 for both of them...