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...
Let f(x) be the continuous function that satisfies the equation and whose graph contains the points and . Let [tex]\ell[m/ath] be the line tangent to the graph of at .
A) find the expression for
B) write an equation for line
C) give the coordinates of a point that is on the graph of but is not on line
D) give coordinates of a point that is on line but is not on the graph of
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.