Home
Class 12
MATHS
Find (dy)/(dx) if y=(1)/(sqrt(a^(2)-x^(2...

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

Text Solution

Verified by Experts

The correct Answer is:
`=(x)/((a^(2)-x^(2))^(3//2))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART III) QUESTION FOR PRACTICE (1 MARK) |8 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART III) QUESTION FOR PRACTICE (4 MARK) |13 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART II) QUESTION FOR PRACTICE (1 MARK) |26 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) 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 dy/dx if y^2 = x^y

Answer any three questions (d) Find (dy)/(dx) , if sqrt(x^(2) + y^(2) ) = k tan^(-1) ((y)/(x)) .

Find (dy)/(dx) if y = logtan^(-1)x+e^(2x) .

Find (dy)/(dx) if y=cot^(-1)(logcose^(-x))+(xsin^(-1)x)/(sqrt(1-x^(2)))

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

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

If y=[x+sqrt(x^(2)+a^(2))]^(n) , then prove that (dy)/(dx)=(ny)/(sqrt(x^(2)+a^(2)))

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

Solve the following differential equation:- (dy)/(dx) = (1 + y^2)/(sqrt(1 - x^2)) if y = 2 when x = 0.

Home
Profile