Home
Class 12
MATHS
Using proper substitution, find (dy)/(dx...

Using proper substitution, find `(dy)/(dx)` if `y = tan^(-1)(sqrt(1+b^(2)x^(2)) - bx)`.

Text Solution

Verified by Experts

The correct Answer is:
`(dy)/(dx) = -(b)/(2).(1)/(1+b^(2)x^(2))`
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 2

    ICSE|Exercise Section - B|10 Videos

  • MODEL TEST PAPER - 2

    ICSE|Exercise Section - C|10 Videos

  • MODEL TEST PAPER - 18

    ICSE|Exercise Section - C|10 Videos

  • MODEL TEST PAPER - 3

    ICSE|Exercise SECTION - C|10 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) for y=tan^(-1) sqrt(sec^2x/ cosec^2x)

Find (dy)/(dx) for y=tan^(-1)sqrt((a-x)/(a+x)) ,-a < x < a

Find (dy)/(dx) " when " y = sin^(-1) sqrt((1+x^(2))/2)

"Find" (dy)/(dx)"if" y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

Find (dy)/(dx) if, tan^(-1)(x^2+y^2)=a

1) Find (dy)/(dx) if y=sqrt(x+sqrt(x+1))

Find (dy)/(dx) for y=tan^(-1)sqrt((a-x)/(a+x),)-a

Find (dy)/(dx) if y=tan^(-1)(4x)/(1+5x^2)+tan^(-1)(2+3x)/(3-2x)

Find (dy)/(dx) if y=tan^(-1)(4x)/(1+5x^2)+tan^(-1)(2+3x)/(3-2x)

2.Find (dy)/(dx) if y=(1-sqrt(x))(1+sqrt(x))