Question

when u are having in this form then how to differentiate :)
tan^-1(2^(x+1)/(1-4^x))
can i use substitution here ?

Answer 1

i don't think so substitution will work

Answer 2

substitute 2^x = tan y

Answer 3

lol, why not ?

Answer 4

do you know tan 2 theta formula ?

Answer 5

coz i have never did this type of question lol

Answer 6

yep :)

Answer 7

2tanα/(1 – tan²α)

Answer 8

2^(x+1) = 2. 2^x , 4^x = (2^x)^2
plug in 2^x = tan y and see the magic! (simplification :P)

Answer 9

will it really works :PPPP
lol i hate chain rule -_-

Answer 10

don't wanna use chain rule for inverse trig ...........

Answer 11

?
what did you get after simplification ?

Answer 12

i don't think chain rule is required here...

Answer 13

wait :))

Answer 14

use tan(x+y)=(tanx+tany)/(1-tanxtany)

Answer 15

@Abhishek619 :/

Answer 16

same thing....tan 2 thetha comes from tan (x+y) formula only