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

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

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Answer 1 · 2016-01-13T01:29:23

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#

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

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