Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Differentiate sec(log x^n) with respect to x .

Differentiate sec(log x^n) with respect to x .

Answers (1)

best_answer

Solution: Let  y=sec(log x^n) . putting x^n=v , u=log x^n=log v , we get 

               y=secu , u=log v  and v=x^n

herefore            fracmathrmd ymathrmd u=sec u. tan u   , fracmathrmd umathrmd v=frac1v   and fracmathrmd vmathrmd x=n . x^n-1

Now ,     fracmathrmd ymathrmd x=fracmathrmd ymathrmd u imes fracmathrmd umathrmd v imes fracmathrmd vmathrmd x

Rightarrow         fracmathrmd ymathrmd x=sec u . tan u imes frac1v imes n x^n-1

Rightarrow        fracmathrmd ymathrmd x= sec(log x^n).tan (log x^n) imes frac1x^n imes n x^n-1=fracnx imes sec(log x^n). tan (log x^n)

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question