If $y = 2 x + tan x$ $y=2x+tanx$ , find $y'''$ third derivative of $y$ ?

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Answer 1 · 2017-04-09T11:46:04

$y'''=4sec^2xtan^2x+2sec^4x$

As $y=2x+tanx$

$y'=2xx1+sec^2x=2+sec^2x$

$y''=2secx xx secx tanx=2sec^2xtanx$

$y'''=2(2sec^2xtanx)tanx+2sec^2x(sec^2x)$

$=4sec^2xtan^2x+2sec^4x$

If y=2x+tanxy=2x+tanxy=2x+tanx, find y'''y''' third derivative of yy?