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Answer 1 · 2017-10-14T05:52:36

#y''=2tanxsec^2x#

let #y=x+tanx#.

Using the fact that the derivative of #tanx# is #sec^2x#:

#y=1+sec^2x#

Using the chain rule to differentiate #sec^2x#, and the fact that the derivative of #secx# is #secxtanx#:

#y''=2secx xx tanxsecx#

#therefore y''=2tanxsec^2x#