This question shouldn't be entirely that hard but for some reason when I check with my peers, all of us have completely varying or different answers... Here is the question. (Scanned the question from my worksheet)

So for

**PART A**, I did this.

Then for

**PART B**, I plugged in (2,1) into my dy/dx and I got the slope to be 1/2 and thus my tangent line equation for

was

Then for

**PART C**, I set the equation to

for

and I got that

. But I'm not sure what to do with this...

So this is the work I did so far and I'm not sure on how to figure out part C or D of the question... If anyone could correct or check my initial work to see that it's correct or help me with Part C and D, then I would be really grateful! Because with some peers I was checking my work with, they got different derivatives or for part B got slopes like -3/14 or -13/14.