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to simply this take ln on both sides

\[y=\tan(x)^{\arcsin(x)}\]

ln y
= arcsinx (ln tanx)

What's wrong with what I said about the chain rule ?

like if uv got
f(x) and g(x)
and y=f^g
dy/dx = gf^(g-1) + (lnf)f^g

Getting confused. Dont understand why I need to add functions here.

Oh

now u get it?

dy/dx = gf^(g-1) + (lnf)f^g makes it to add ..

f(x)=h(g(x)) , f'(x) = h'(g(x))*g'(x) , is this not what I did too ?

u know it right..but here we cannot use the chain rule

u tell me...r u in class 12?

yes am in class 12

why cant I use chain rule here ?

for using the chain rule for sin(e^x) do u need to know the derivative of sinx or not?

yes I know

wont that be cos(e^x) * e^x ?

yes...just an example..the thing is that there is no standard derivative of tanx ^x

ur treating ur function as f(g(x)) where f is tanx and g is arcsinx which is wrong

yes am treating it like that , why is it wrong ??

agar aisa hota to it wldve been tan (arcsinx) or something

acha , see this , how do you differenciate x^x w.r.t x then ?

right

thing is I have not yet come to logarithmic differentiation abhi tak ... all I know is chain rule

yes

this is a chain rule question...just gotta use brains and log properties

yeah

see
y = x^sinx
ln y= sinxlnx
now use chain rule

r u in delhi??

thanks a lot..u gave me something to think abt...mazaa aagaya..bt dont think m nerdy...

yes .. ;) lol no problems , what do you do ?

ive given iit right one month back...

hey him1618, i think chain rule can suffice ... no log needed

how?

Like you were in 12th and gave IIT or just gave IIT being elder?

abhi 12th pass ki hai yyar..beizzati mat karo

i passed in 2011..gave iit in 2011

lol you are brainy

fine fine wrote AIEEE?

thanx...aakash sahib kahan gaye...

yeah..but marks nahi lagaye..wanted to be free

Aakash went to temple .. will be right back soon he says.

Are you on any IM ? What's your gtalk ?

facebook...u in delhi?

yes I am in Delhi.

You ?

wt school?

Springdales

you ?

k.....add Himanish...studied at St. Columba's School

http://www.facebook.com/profile.php?id=100002411313746

ur pretty...g2g...ill add u

thanks haha :) , sure.

we find the first one using log .. as u said

dont pste ur fb id on public pages....aakash....sk goyal ke phatte aise hi nhi maare..bye

hun?

Damn posted my fb profile here !

toldya..b careful next tym

r u a quizzer?

quizzer ?

what do you mean ?

mean do u go fr quizzes and all?

No , you ?

yeah..i am..just inquiring whether uve heard of the columban open quiz...nvm...ive sent u d request

what request ?

btw what are you planning to study next after 12th ?

engineering physics btech

Oh , which university ?

abhi result to aane do yaar..waise i think ill get into one of the IITs

very nice.

Was IIT easy this year ?

How many hours do you study for IIT ? Went to any coaching ?

yes..only i screwed up...

narayana...no defined hours of study...

went to any coaching classes at narayana or you stay at narayana ?

assuming you mean "narayna" the area ..

narayana iit academy

Oh

hav u added?

Oh , wait i'll add now.

hey

how do you get an area under a function f(x) between spans x=a and x=b when you integrate it ?

How come it fetches you the area ? intuition behind it ?

no..

No ?

u divide the area under the graph into small strips along the x-axis, each having width dx

lol

so dA = f(x)dx

now area is the summation of all these small areas

\[A =\lim_{dx \rightarrow 0} \sum_{a}^{b}f(x)dx = \int\limits_{b}^{a}f(x)dx\]

get it now?

u cn call me if u want...m free after monday...only if ur comfortable with it

samajh aaya?

wait reading

I will definitely call you on mind , if you dont mind getting disturbed.

*monday not mind lol

after monday..no disturbance frm gorgeous ppl...;)

ill msg my no on fb
kal dekhlena

;) sure. I understood the intuition somewhat now , cool. thanks

no prob mis...ek din derivative bhi samjhaaoonga..bye g2g

sure

bye

u preparing for iit?

lol really ? well I was just trying to understand how that works.

Trust me yaar , am weak at maths. I dont do well at all.

waise india ka education system is bakwas

i msgd u my number

Alright , surely will call you Mr. Brains.

so wtr u doing now?

just browsing. YouTube.

You heard of Manipal ?

university?my pals giving the exam tomorrow

Yes. You dont have plans for that? I heard its good?

Where is it actually?

in the south .. good