# Math Help - Solve using Quotient Rule

1. ## Solve using Quotient Rule

I'm stuck on what to do next

Problem:H(s)=s/square root of s subtract 1 Differentiate using the Quotient Rule

I got this far: (s^1/2-1)[s]-(s)[s^1/2-1]/(s^1/2)^2

2. Originally Posted by Tskate
I'm stuck on what to do next

Problem:H(s)=s/square root of s subtract 1 Differentiate using the Quotient Rule

I got this far: (s^1/2-1)[s]-(s)[s^1/2-1]/(s^1/2)^2
is this what you mean?

$\frac d{ds} \frac {s}{\sqrt {s} - 1}$

3. I think he said

$H(s)=\frac s{\sqrt{s-1}}$

4. is this what you mean? Yes

5. Well, in that case

$\frac s{\sqrt s-1}=\frac{s\left(\sqrt s+1\right)}{s-1}$

Now apply the quotient rule.