Question

Using the limit definition, how do you differentiate `f(x)=(3x)/(7x-3)`?

Answer 1

It's absurd to differentiate it without using the proven laws.

`f'(x)=-9/(7x-3)^2`

Explanation:

You actually need to carry the whole thing until you actually prove the quotent rule (which requires other painful proofs before) and afterwards prove 3 other derivative functions. This could actually be a total of more than 10 rule proofs. I 'm sorry but I don't think an answer here will help you.

However, this is the result:

`f'(x)=-9/(7x-3)^2`