Home
Class 12
MATHS
Find (dy)/(dt), when y=sin^(-1)(2sqrt(t^...

Find `(dy)/(dt)`, when `y=sin^(-1)(2sqrt(t^(2)-1)/(t^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
`(2sqrt(t)-3t)/(t^(3//2)sqrt(t^(4)-4t+4sqrt(t)-1))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART IV) Sample Question|2 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART IV) QUESTION FOR PRACTICE (1 MARK) |4 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART III) QUESTION FOR PRACTICE (1 MARK) |8 Videos
  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos
  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) , when y=sin^(-1)((2sqrt(t)-1)/(t^(2)))

Find (dy)/(dx) , if y = sin^(-1)((5x+12sqrt(1-x^(2)))/(13)) .

Find (dy)/(dx) , if y=sin^-1((sqrt(1+x)+sqrt(1-x))/2), -1ltxlt1

Find (dy)/(dx) when y= cot^(-1)( cosecx)+(xsin^(-1)x)/(sqrt(1-x^2) .

Find (dy)/(dx) if y=(1)/(sqrt(a^(2)-x^(2)))

Find (dy)/(dx) if y=tan^(-1) sqrt(1+x^(2)+sqrt(1-x^(2))/(sqrt(1+x^(2)-sqrt(1-x^(2)) 0 lt |x| lt1

Find the general solution of the following differential equations. (dy)/(dx)=(sin^(-1)te^(sin^(-1)t))/(sqrt(1-t^2))

If y=sin^(-1)((2sqrt(x^(2)-1))/(x^(2))) , then find (dy)/(dx) .

Differntiate the following functions by proper substitution. sin^(-1)((2sqrt(t^2-1))/t^2)

Find (dy)/(dx) , if y=cot^(-1)(log cos e^(-x))+(x sin^(-1)x)/(sqrt(1-x^(2))) .