Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

differentiate tan-1[(1+x2)1/2 – 1/x] wrt sin-1 (2x/ 1 + x2) explain in great detail
Asked by haroonrashidgkp | 13 Aug, 2018, 08:50: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight u equals tan to the power of negative 1 end exponent open parentheses fraction numerator square root of 1 plus straight x squared end root minus 1 over denominator straight x end fraction close parentheses straight x equals tan space straight theta rightwards double arrow straight theta equals tan to the power of negative 1 end exponent straight x straight u equals tan to the power of negative 1 end exponent open parentheses fraction numerator square root of 1 plus tan squared straight theta end root minus 1 over denominator tan space straight theta end fraction close parentheses straight u equals tan to the power of negative 1 end exponent open parentheses fraction numerator sec space straight theta minus 1 over denominator tan space straight theta end fraction close parentheses space space space space space space space space space space space space space space space space space space space space space space 1 plus tan squared space straight theta equals sec squared space straight theta straight u equals tan to the power of negative 1 end exponent open parentheses fraction numerator begin display style fraction numerator 1 over denominator cos space straight theta end fraction end style minus 1 over denominator begin display style fraction numerator sin space straight theta over denominator cos space straight theta end fraction end style end fraction close parentheses straight u equals tan to the power of negative 1 end exponent open parentheses fraction numerator begin display style 1 minus cos space straight theta end style over denominator begin display style sin space straight theta end style end fraction close parentheses straight u equals tan to the power of negative 1 end exponent open parentheses fraction numerator begin display style 2 sin squared space bevelled straight theta over 2 end style over denominator begin display style 2 sin space bevelled fraction numerator begin display style straight theta end style over denominator 2 end fraction space cos space bevelled straight theta over 2 end style end fraction close parentheses straight u equals tan to the power of negative 1 end exponent open parentheses tan space bevelled straight theta over 2 close parentheses straight u equals straight theta over 2 straight u equals fraction numerator tan to the power of negative 1 end exponent straight x over denominator 2 end fraction du over dx equals fraction numerator 1 over denominator 2 left parenthesis 1 plus straight x squared right parenthesis end fraction............. left parenthesis straight i right parenthesis straight v equals sin to the power of negative 1 end exponent open parentheses fraction numerator 2 straight x over denominator 1 plus straight x squared end fraction close parentheses straight x equals tan space straight theta rightwards double arrow straight theta equals tan to the power of negative 1 end exponent straight x straight v equals sin to the power of negative 1 end exponent open parentheses fraction numerator 2 tan space straight theta over denominator 1 plus tan squared space straight theta end fraction close parentheses straight v equals sin to the power of negative 1 end exponent left parenthesis sin 2 straight theta right parenthesis straight v equals 2 straight theta straight v equals 2 tan to the power of negative 1 end exponent straight x dv over dx equals fraction numerator 2 over denominator 1 plus straight x squared end fraction............ left parenthesis ii right parenthesis From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis du over dv equals fraction numerator fraction numerator 1 over denominator 2 left parenthesis 1 plus straight x squared right parenthesis end fraction over denominator fraction numerator 2 over denominator 1 plus straight x squared end fraction end fraction equals 1 fourth end style
Answered by Sneha shidid | 16 Aug, 2018, 10:13: AM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
Differetion of Sin x
Asked by givduf | 07 Jul, 2020, 08:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Q - (ix), find the second order derivative.
question image
Asked by majethiyarishat9566.12sdatl | 05 Jun, 2020, 07:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Q - (ix)
question image
Asked by majethiyarishat9566.12sdatl | 05 Jun, 2020, 04:57: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
x=2sinø–sin2ø , y=2cosø–cos2ø find d^2y÷dx^2
question image
Asked by rudrapandey14549 | 10 Jan, 2020, 06:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
23rd sum plz
question image
Asked by lovemaan5500 | 03 Dec, 2019, 09:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If x= 2t/1+t^2 ,y=1-t^2/1+t^2 then Dy/DX +x/y is (A) 1 (B) 2 (C) 0 (D)4t^2
Asked by sd151299 | 27 Oct, 2019, 06:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If x = (2cos thita  - cos 2 thita)   and y = (2sin thita – sin 2 thita) find d2y/dx2 at thita = pie/2 Explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
if x = 2cos thita – cos 2 thita and y = 2 sin thita – sin 2 thita, show that dy/dx = tan (3thita/2)   explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:51: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
if x = 3cost – 2 cos3t , y = 3sint – 2sin3t , show that dy/dx = cot t  explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
find dy/dx x = cos-1 1/ ( 1 + t2)1/2      y = sin-1 t/(1 + t2)1/2 explain in great detail  
Asked by haroonrashidgkp | 24 Aug, 2018, 10:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×