Does it look like this?
Sorry to bump this thread again but I had another question pertaining to the problem from before.
The slope would equal -1/9 right? My professor had this answer down.
"The slope of the tangent line to y = 1/x at the point (3, 1/3) is -1/9."
How did he get the points (3,1/3) and y = 1/x?
The derivative is the slope of the tangent line at a point x=a. The definition is:
This is very similar to your limit. The given question had already plugged in the point, but one can find the original function easily. Let's revert 3 back to x:
So is the slope of the tangent line to point