This depends on what "delta y when x = 5 and delta x = .2" is. The things is that , so if is defined as the maximum of these things, then your answer is incorrect.
For the differential, though, I got the same answer as you did (up to thousandths).
Hi, I submitted answers for my homework but got it wrong and I would like to know where I stumbled?
y = 3sqrt(x)
Find delta y when x = 5 and delta x = .2
for this I just figured that delta y would equal: f(5.2) - f(5) = .133
Find the differential dy when x = 5 and and dx = .2
I used the dy = fprime(x) dx formula to get .134
I got wrong results for both. It surprised me but is there something I haven't looked at? Thanks for clarification