Find the derivative of y= ( 3 + 2/t ) / (3 - 2/t)

[kimmy_koo51]

Find the derivative of y= ( 3 + 2/t ) / (3 - 2/t)

I moved this around to get

y = (3 + t^-2) / (3 - t^-2 )

Is that correct?

 

[pka]

It is just middle school algebra:
\(\displaystyle \L y = \frac{{3 + \frac{2}{t}}}{{3 - \frac{2}{t}}}\quad \Rightarrow \quad y = \frac{{3t + 2}}{{3t - 2}}\)

 

[kimmy_koo51]

Thanks...I tend to overthink things sometimes