if y = log (x + (1 + x2)1/2)

 

prove that  dy/dx = 1/log(x + (1 + x2)1/2) . 1/(1 + x2)1/2

Asked by haroonrashidgkp | 11th Jul, 2018, 12:24: PM

Expert Answer:

begin mathsize 16px style straight y equals log space open parentheses straight x plus square root of 1 plus straight x squared end root close parentheses
dy over dx equals fraction numerator 1 over denominator straight x plus square root of 1 plus straight x squared end root end fraction cross times open parentheses 1 plus fraction numerator 1 over denominator 2 square root of 1 plus straight x squared end root end fraction cross times 2 straight x close parentheses
dy over dx equals fraction numerator 1 over denominator straight x plus square root of 1 plus straight x squared end root end fraction cross times fraction numerator square root of 1 plus straight x squared end root plus straight x over denominator square root of 1 plus straight x squared end root end fraction
dy over dx equals fraction numerator 1 over denominator square root of 1 plus straight x squared end root end fraction



NOTE colon space Please space check space your space question. end style

Answered by Sneha shidid | 11th Jul, 2018, 05:40: PM