need help (quotient rule) important

[habi]

hello to who ever is reading this can you please post the solution to this:
the derivative of (3x-5)^1/2 /(2-4x)^1/2 using the quotient rule
please help asap
can someone tell me the final answer please its for my assignment !

 

[Deleted member 4993]

hello to who ever is reading this can you please post the solution to this:
the derivative of (3x-5)^1/2 /(2-4x)^1/2 using the quotient rule
please help asap

Quotient rules say, if:

\(\displaystyle h(x) \ = \ \dfrac{f(x)}{g(x)}\) then

\(\displaystyle h'(x) \ = \ \dfrac{f'(x) * g(x) - g'(x) * f(x)}{g^2(x)}\)

In your case,

f(x) = (3x - 5)^(1/2)

and

g(x) = (2 - 4x)^(1/2)

Now calculate f'(x), g'(x) and h'(x)....

Exactly where are you stuck?

 

[habi]

reply ^

i know how to do it but i dont know the final simpflied answer

 

[Deleted member 4993]

i know how to do it but i dont know the final simpflied answer

If you show your work, we could tell you whether it was correct or not.

 

[stapel]

i know how to do it but i dont know the final simpflied answer

Simplification is merely a matter of algebra. Where are you getting stuck?

Please be complete, showing all of your steps so far. Thank you!

 

[Steven G]

hello to who ever is reading this can you please post the solution to this:
the derivative of (3x-5)^1/2 /(2-4x)^1/2 using the quotient rule
please help asap
can someone tell me the final answer please its for my assignment !

Personally I would 1st rewrite the problem as [(3x-5) /(2-4x)]^1/2 and then differentiate using the general power rule and the quotient rule. I suspect the simplifying will go more smoothly this way.

Before we give you the final answer you need to show us your work so far, as many others have suggested.

 

[habi]

this is what i worked it out to be, is it correct ?
the working out is attached

 

[habi]

so is it correct

To who ever has seen my solution, is my final answer correct ?

 

[Steven G]

To who ever has seen my solution, is my final answer correct ?

If I were you I might consider looking at what you uploaded. This is a friendly hint.

 

[Deleted member 4993]

this is what i worked it out to be, is it correct ?
the working out is attached

Looks good to me - except the last line [Hint: 1 - (-1/2) = 3/2)]

 

[habi]

Thanks

Thank you for helping, this question really bugged me as even my teacher couldnt produce the final answer.