Question 982774
<pre>
Here's another way to learn the quotient rule:

{{{matrix(1,6,

Derivative,
of,
TOP/BOTTOM,
"",
""="",
"")}}}{{{(matrix(1,7,

BOTTOM,
""*"",
(matrix(3,1,DERIVATIVE, OF, TOP)),
""-"",
TOP,
""*"",
(matrix(3,1,DERIVATIVE,OF,BOTTOM))

))/((BOTTOM)^2)}}}

In your problem:

{{{matrix(2,3,

 "",   "",     "",  
TOP,""="",(t+1)^(1/2))}}}  

{{{matrix(2,3,

 "",   "",     "",  
BOTTOM,""="",2t-1)}}}


{{{(matrix(3,1,DERIVATIVE, OF, TOP))}}}{{{""=""}}}{{{matrix(2,1,"",
expr(1/2)(t+1)^(-1/2)(1))}}} 

{{{(matrix(3,1,DERIVATIVE, OF, BOTTOM))}}}{{{""=""}}}{{{2}}}

Substitute.  If you have any trouble, tell me in the thank-you
note form below.

Edwin</pre>