Question

Question #f5e26

Answer 1

`y''=2tanxsec^2x`

Explanation:

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`