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Sorry. I don't understand?

This is my furthest step:
|dw:1340171061632:dw|

Sorry, I'm to use first principles here, not actual derivatives...

Here let me see if this helps answer your question... I got to type this up so give me a moment

i wrote it down but cannot sketch it

USe the equation editor. That makes it look nicer.

\[(y + \delta y) = -2(t + \delta t) / (t + \delta t ) + 3\]

then next i say \[\delta y = -2(t + \delta t ) /(t + \delta t) + 3 - (2t / t + 3)\]

Just realized I was answering for the wrong question...

then u simplify further, until u nw say \[\delta y _{\lim_{\delta t \rightarrow 0}} = \]

the final answer u get on d RHS!

then u nw deal with the limits of course

Are you needing this in the limit definition form?

Not sure.

first principles deals with limits

I agree wholeheartedly.

Imagine taking the original function and putting (x+\(\triangle\)x) into each... eww

oh yeah and then adding to another function and dividing and looking for terms to cancel out

sure u have to do it patiently, until it gets to where u need to apply limits

Sure

You're welcome! :-3