Home
Class 12
MATHS
Differentiate sqrt((a^2-x^2)/(a^2+x^2)) ...

Differentiate `sqrt((a^2-x^2)/(a^2+x^2))` with respect to `x` .

Text Solution

AI Generated Solution

To differentiate the function \( y = \sqrt{\frac{a^2 - x^2}{a^2 + x^2}} \) with respect to \( x \), we will follow these steps: ### Step 1: Rewrite the function Let \( u = \frac{a^2 - x^2}{a^2 + x^2} \). Then, we can express \( y \) as: \[ y = \sqrt{u} \] ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

Similar Questions

Explore conceptually related problems

Differentiate sqrt((1-x^(2))/(1+x^(2))) with respect to x:

Differentiate (1)/(sqrt(a^(2)-x^(2))) with respect to x:

Differentiate sqrt(tan^(-1)((x)/(2))) with respect to x:

differentiate sqrt(4+x^(2))

Differentiate log(x+sqrt(a^(2)+x^(2))) with respect to x:

Differentiate tan^(-1)sqrt((1-x^(2))/(1+x^(2))) with respect to cos^(-1)x^(2).

Differentiate sqrt((x+1)(x+2)(x+3)) with respect to x.

Differentiate log{x+2+sqrt(x^(2)+4x+1)} with respect to x:

Differentiate: (x)/(sqrt(a^(2)-x^(2)))