Need help to differentiate this

So we have the following expression, e^-2x / sqrt(x+1) Ive tried the quotient rule and the product rule but I can't seem to get the answer since there are so many terms and I don't knnow how to organise them

Is that ok?

So we have the following expression, e^-2x / sqrt(x+1) Ive tried the quotient rule and the product rule but I can't seem to get the answer since there are so many terms and I don't knnow how to organise them

No it isn't. Either your index is wrong or you mean the quotient rule.

Either the product rule or the quotient rule will work. Care to share some working with us? It may just be that you have produced an equivalent correct answer that you don't know how to manipulate to the required form.

well I figured the quotient rule is easier to apply and got the following,

[ -2x(sqrt(x+1)e^-2x] - [(-1/2) (x+1)^-3/2 (e^-2x)] all divided by x+1

and then i Took out the common factor of e^-2x and then im stuck

well I figured the quotient rule is easier to apply and got the following,

[ -2x(sqrt(x+1)e^-2x] - [(-1/2) (x+1)^-3/2 (e^-2x)] all divided by x+1

and then i Took out the common factor of e^-2x and then im stuck

The product rule is a lot easier

(e^-2x)/sqrt(x+1)=(e^-2x)(x+1)^-1/2

e^-2x[-0.5(x+1)^-3/2]+(x+1)^-1/2[-2e^-2x]

Then simplify...

Or you can use the quotient rule, but that would take the piss.

That is terribly wrong.

You have differentiated both terms incorrectly.

$\displaystyle \frac{d}{dx} e^{-2x} \neq -2x e^{-2x}$

$\displaystyle \frac{d}{dx}(x+1)^{\frac{1}{2}} \neq -\frac{1}{2} (x+1)^{-\frac{3}{2}}$

That is terribly wrong.

You have differentiated both terms incorrectly.

$\displaystyle \frac{d}{dx} e^{-2x} \neq -2x e^{-2x}$

$\displaystyle \frac{d}{dx}(x+1)^{\frac{1}{2}} \neq -\frac{1}{2} (x+1)^{-\frac{3}{2}}$

Well he was differentiating (x+1)^(-1/2) which was right

Well he was differentiating (x+1)^(-1/2) which was right

well I figured the quotient rule is easier to apply and got the following

I'm not sure you are helping. He clearly wasn't.

So we have the following expression, e^-2x / sqrt(x+1) Ive tried the quotient rule and the product rule but I can't seem to get the answer since there are so many terms and I don't knnow how to organise them

In that post he was doing the quotient rule, so it was (x+1)^(1/2).

He was if you look below. The product rule works.

The answer is here

Well I suppose it is an appropriate time of year to teach your grandmother to suck eggs.

Sorry Mr M. I guess you don't even see your grandmother seen as you spend a lot of your life making posts, not far to 20000 now.

They both died before I was born so that isn't a particularly cool thing to say. My top tip for the day is it is probably best not to neg people with massively higher rep power than you. Just as well I am not the vengeful sort!

you just insult people in the first place