tan^-1[(√x+√a)/(1-√(xa))]
differentiate it plz
m gtting 1/2(√x)
which is not correct answer is
1/[2(√x)(1+x)]

- anonymous

- schrodinger

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- hartnn

same type of question with different substitution

- anonymous

hmm i think i did something wrong let me do it again

- anonymous

well u don't have to substitue :) @hartnn
i think i forgot to differentiate tan^-1 (x)^1/2
i missed the tan^-1 part

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## More answers

- hartnn

say, sqrt x= tan y
sqrt a = tan alpha
then , [(√x+√a)/(1-√(xa))] =... ?

- hartnn

ohh..so now did u get it ?

- anonymous

u have to use tan^-1 x + tan^-1 y formula
well not now

- anonymous

trying again

- anonymous

:'( not getting :'(

- anonymous

how to differnatiate tan^-1(x)^1/2

- hartnn

use chain rule, know about it ?

- anonymous

no :'( that's the problem simple chain rule i know

- anonymous

like this one sin(cos3x) but never did for inverse trign.........

- anonymous

is the differenatition of tan^-1(x)^1/2 is

- anonymous

is =X
=1/(1+(x^1/2)^2 . 1/2*(x)^-1/2 ????????

- hartnn

ok, derivative of tan^{-1} x is 1/(1+x^2), right ??
for derivative of tan^{-1} sqrt(x)
you do
1/(1+ [\sqrt x]^2) times deribative of sqrt x

- anonymous

yep

- anonymous

i think i have used chain rule -_- is that a chain rule @hartnn

- souvik

you did it,,,kitty

- hartnn

didn't you get the answer then ?
yes, thats was chain rule only...

- anonymous

lol i know everything but still do silly things -_- @souvik

- souvik

it happens some time...

- anonymous

@hartnn -
chain rule :O
so that's a chain rule

- hartnn

because what you wrote matches with your final answer...

- anonymous

not some times everytime it happens

- souvik

keep your head cool....like MSD

- anonymous

bcoz of calculation mistake i lost 3 marks in maths prob :'(
i did everything correct but in final answer i made a error in multiplication

- anonymous

MSD??????

- anonymous

@hartnn -tahnx :)

- hartnn

hey, welcome anytime ^_^

- anonymous

:)

- souvik

Indian cricket team captain...

- anonymous

oh :OOO ms dhoni :OOO i don't like him lol

- souvik

why?

- anonymous

reminds me of my frenemy :P

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