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This is the equation: \[Y=\cos^{-1} (2x+5)\]

This is a new math to me and the homework is due tomorrow I m stuck with these problems!!

I got an answer but it looks weird

where is ur answer?

what did you get? And next time, i recommend you go to the Calculus section, not the math.

its \[2x /\sqrt{1-4x+25}\]

(2x+5)=cosy

-dy/dxsiny=2

dy/dx=-2/siny

oh so there wont be 2x anymore

yup correct ur error, u'll get used to the method by practicing

hmm ok

ur not that far

ok i know that numerator will be 2 but under radical is that also wrong?

i m sorry i know i am asking too many stupid questions

no ask any qs u like there isn't a stupid question in maths

okyyy :)

ok let me surprise u

alright i m waiting for my surprise

|dw:1360124524210:dw|

can u solve the rest and tell me where did u make the mistake

alright i am

now ur final answer should be

\[\frac{ dy }{ dx }=\frac{ 1 }{ \sqrt{-x^2-5x-6} }\]

is the script clear because i am writing using a normal mouse

yeah thats fine

by the way give me the other 2 equations so u try and i try to solve the problem

and this way we can save time

oh ok

just last time then after that I ll do my other 3

sure

thanks

|dw:1360125108009:dw|

|dw:1360125325494:dw|

can u see the answer now

r u there?

yeah sorry i was focusing deeply to that answer

sorry one more question

how you got 5 under that radical?

yup go ahead

bcoz once you took 4 out then 10 doesnt come into table of 4

sorry its 20 not 10

but how we are getting 20?

because (2x+5)^2= 4x^2 + 20x +25

and 25-1=24

4x^2+20x+24, 4(x^2+5x+6)

oh GOD whats wrong with me seriously my brain really isnt working I m still stuck with this 20

I m trying to figure out that how we got 20 it looks like I forgot basic math too

|dw:1360126122644:dw|

u haven't ur just feeling tired i know u r clever

yeah no doubt I m tired I had a classes today from 8:45am to 7:05 pm

thanks though

what's ur major?

Information Science

ok good

not because its root4=2

remember we took the 4 out of the root

\[1/2\sqrt{-x ^2{}}-5x-6\]

|dw:1360126668198:dw|

yeah we did take the 4 out from the root but we are also canceling that 2 with 4 right?

so u can see when we took the 16 out of the root it became 4

no cancelling the 2 with root4

oh ok

again let me show u

|dw:1360126822923:dw|

alright sir I got it now thank you so much for your patience and big help :)

I really appreciated

ur welcome

by the way how does this smart score work

and kindly send me the other 3 questions

oh I never worked on that smart score thing sorry

oh ok I will share with you these questions

\[Y=\arctan(\sqrt{cscx})\]

hehehe wow that is a long solution but not bad, with our method we can solve almost any question

\[Y=\sec ^{-1}(e ^{x2})\]

yeah

and one last question of this homework is: \[Y=arc \cot(\sec 5x ^{3})\]

that last function e^x^2 is how ur iphone works by the way

by the way i calculated all the answer in my head

lolz I dont have an iphone I carry that ordinary phones

now u really have some chain rules here u have to be accurate

hmm ok

seriously i m giving up now I cant do this anymore ;(

by the way u can use the tables

it would be faster

ok all the best

i will solve them for u

hmm I feel bad though but if you can I really appreciate it

its ok see u tomorrow

alright thank u soo much though for your help. :) take care bye.