00:01
For this problem, we're asked to find the slope of the curve at the point indicated.
00:05
So we need to take the function, y equals 1 minus x squared, find x equals 2 on the function, and see if we can figure out the slope of the tangent line.
00:16
So just real quick, i think we know what 1 minus x squared looks like.
00:21
It's an upside -down parabola, goes through 0 -1, and x -equal 2 on the function will be over here somewhere.
00:28
And so this tangent line hopefully is negative slope.
00:33
The slope is negative here.
00:35
So when we find the derivative in plugin 2, we should get some negative number.
00:40
So let's kind of, let's investigate this.
00:44
Now how are we going to find the slope of the tangent line? well, we're going to take the derivative...