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HELP with The Quotient rule C3

So the question is:

5+2x^1/2 / (5-4x)^3

Sorry I don't know how to write it out clearly but 5x plus 2 to the power of a half divided by (5-4x) cubed. I start using the quotient rule and I factorise out (5-4x)^2 but I can't seem to get the answer in the text book.

So far i've come this far:
(5-4x)^2 [5x^-1/2 - 4x^1/2 + 60 + 24x^1/2]

Any help is greatly appreciated thank you.
Reply 1
Avatar for Shaanv
Shaanv
17
Can u post a picture of your working out.

What have you made u and v equal to?
Reply 2
Avatar for MrToodles4
MrToodles4
OP
10
Original post by Shaanv
Can u post a picture of your working out.

What have you made u and v equal to?


I made u equal to 5+2x^1/2 so differentiated this to x^-1/2

and v = (5-4x)^3 and differentiated this to -12(5-4x)^2

then I used the quotient rule as standard but I get the wrong answer
what is the answer that is given in the book? i can help
Reply 4
Avatar for Shaanv
Shaanv
17
Well im gonna need to see all the stages of your working out and the answer in the textbook to find out where u went wrong and help u
Reply 5
Avatar for MrToodles4
MrToodles4
OP
10
Original post by imundercover
what is the answer that is given in the book? i can help


5(4x + 12x^1/2 + 1) / x^1/2 *(5 - 4x)^4

Many thanks

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