# Solve using Quotient Rule

• September 16th 2007, 07:26 PM
Tskate
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
• September 16th 2007, 07:42 PM
Jhevon
Quote:

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?

$\frac d{ds} \frac {s}{\sqrt {s} - 1}$
• September 16th 2007, 07:58 PM
Krizalid
I think he said

$H(s)=\frac s{\sqrt{s-1}}$
• September 16th 2007, 08:18 PM
Tskate
• September 16th 2007, 08:21 PM
Krizalid
Well, in that case

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

Now apply the quotient rule.