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```				   if the function f(x)=2tanx+(2a+1)ln|secx|+(a-2)x is increased on R then find interval to which a belongs?
```

6 years ago

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```										f`(x) = 2$sec^{2} x$+ (2a+1) tan x + (a-2)f`(x) > 0 if the function is increasing on R.THe first term is always positive.For f`(x) > 0,As tan x can vary from (-inf, +inf)Hence, the interval of a should be (-inf,+inf) for f`(x) to be greater than 0Thanks&RegardsBharat Bajajaskiitian facultyIIT Delhi
```
2 years ago

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