00:01
Okay, so our question gives us a graph of a function and asks us to estimate the derivative of that function at negative 1.
00:08
And so really what we need to understand to answer this question is that the derivative is the slope of the function at that point.
00:15
So we take the negative 1 value that we're given.
00:18
We go up to our f value of the function, which is it intersects at 1.
00:23
So then we can find our tangent line there.
00:27
And that is our slope, right? that's the slope of this line is going to be our slope at that point.
00:35
And so essentially, we'll draw this tangeline.
00:38
I'll draw it in permanently, sorry.
00:42
But i've recreated the graph to the best of my ability here, but that may not be completely accurate.
00:48
The graph on there is most accurate, obviously.
00:52
But the way this works is you take the slope of this line...