Thread: Stuck with a Binomial using the Difference Quotient

The problem is:



I already know that it will end as 10x (it's derivative by the way).

But using the difference quotient:



I'm told that,




Can be written in the form



Using the Calculus short cuts. I find that "B" is (10) and I find that "C" is (0)

However I don't know what what "A" is.

And when I do it long hand, I get stuck at this point.



How do I get "10x" from that above and find "A"?

Originally Posted by Zanderist

The problem is:



I already know that it will end as 10x (it's derivative by the way).

But using the difference quotient:



I'm told that,




Can be written in the form



Using the Calculus short cuts. I find that "B" is (10) and I find that "C" is (0)

However I don't know what what "A" is.

And when I do it long hand, I get stuck at this point.



How do I get "10x" from that above and find "A"?

I am supposing that the full question is asking you to find the derivative with the difference quotient?

Something to keep in mind is that the secondary form may come from plugging into the quotient. I prefer to use the function itself.

Considering your function is

Plug in for ; This goes into your difference quotient. Expand and simplify.

I figured out what I had done wrong.

I didn't distribute the negative sign fully.

"A" for this problem is (5).