Also can I get some help with this LONG, TIRESOME PROBLEM?

Question

Find the derivative using the chain rule.
f(x)= ((3x-7)/(6x+3))^4

Thanks a lot!

(68/(12x^2+12x+3))*[(3x-7)/(6x+3)]^3

you should double check the answer
multiply 4((3x-7)/(6x+3))^3 by the derivative of (3x-7)/(6x+3), which you can find using the quotient rule

that was so right!! thank you so much, i really appreciate all your help!

Yes, the quotent rule is the way to go. You previously asked to use the chain rule, a onerous, tiresome way.