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x=y*z and y=2sin(y+z), find dx/dy. I've never seen a chain rule problem set up like that before and it's driving me insane. I've done all kinds of solving for various variables and subbing, and I can't get the right damned answer(which I do know from the book, at least)

Then there's a differential problem

the thin lens formula is 1/i +1/o =1/f

if i=15 when o=10, use differentials to find i when o=10.1

Again, it's different from all the others ones and it bugs me. do I go ahead and solve for f and am I assume f is the same or something for the +.1 case?