Qoutient Rule

[sblocher]

I cannot figure out for the life of me how to get the answer to this problem: square root "t" / t-1.
I know the derivitives - 1/2T^-1/2 and 1. But when mulitplying v(x) * u'(x) its creates a mess. Are there any hints that can help?

 

[galactus]

\(\displaystyle \frac{\sqrt{t}}{t-1}\)

Quotient rule:

\(\displaystyle \frac{(t-1)(\frac{1}{2}t^{\frac{-1}{2}})-(t^{\frac{1}{2}})(1)}{(t-1)^{2}}\)

It's not that bad. Give it another go.