Help with confirming if my answer is correct (derivatives)?

Sep 2018
27
0
Philippines
Hello! I posted this question recently and was able to finally solve it with the help of the comments (thank you so much!). I am posting it again with my solution. Please let me know if I did the correct thing and if my answer is right.

P.S.: If the scanned photo of my solution is hard to read, my answer is y=x+15/4.

Thanks a bunch!
 

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HallsofIvy

MHF Helper
Apr 2005
20,249
7,909
You do not say, even in the working you show, tell us what the problem to be solved was! Is this the same problem as "Please help me with a problem on derivatives and differentiability"?
 
Sep 2018
27
0
Philippines
Hello! I attached a screenshot of the question to the problem.