Greetings,
I need to use the limit definition of :
( / means all divided by )
I have to use the limit definition to find the slope of the tangent line to the graph of given at these equations:
at point
If someone could show me how to solve this step by step that would be cool.
I think what he needs is to solve this using First Principle.
at point , so
Now as you said:
Sub
We can do some cancelling
We can do some more cancelling which leaves us with
The limit is as , so sub it in, which gives
So, at the point ,
You can also verify this by differentiating as alexmahone did:
Which is the same as what we obtained before, although this doesn't directly use the first principles or limits.