Grade 12Differential Calculus
if the function f(x)=2tanx+(2a+1)ln|secx|+(a-2)x is increased on R then find interval to which a belongs?
if the function f(x)=2tanx+(2a+1)ln|secx|+(a-2)x is increased on R then find interval to which a belongs?
1 Answer
bharat bajaj
f`(x) = 2
+ (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,
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 0
Thanks&Regards
Bharat Bajaj
Hence, the interval of a should be (-inf,+inf) for f`(x) to be greater than 0
Thanks&Regards
Bharat Bajaj
askiitian faculty
IIT Delhi
IIT Delhi
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