Home
Class 12
MATHS
If y= "tan"^(-1) (4x)/(1+5x^(2)) + "tan"...

If `y= "tan"^(-1) (4x)/(1+5x^(2)) + "tan"^(-1) (2 + 3x)/(3-2x)`, then prove that `(dy)/(dx)= (5)/(1+25x^(2))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER-6

    ICSE|Exercise Section -B|10 Videos
  • MODEL TEST PAPER-6

    ICSE|Exercise Section -C|10 Videos
  • MODEL TEST PAPER-5

    ICSE|Exercise Section -C|10 Videos
  • MODEL TEST PAPER-9

    ICSE|Exercise SECTION - C|10 Videos

Similar Questions

Explore conceptually related problems

If y= "tan"^(-1) (2x)/(1-x^(2)) , prove that (dy)/(dx)= (2)/(1 + x^(2))

If y=tan^(-1)((2x)/(1-x^2))+sec^(-1)((1+x^2)/(1-x^2)) , x >0 , prove that (dy)/(dx)=4/(1+x^2) .

If y = tan^(-1) (x/(1 + 6x^2)) + tan^(-1) ((2x - 1)/(2x + 1)), (AA x > 0) then (dy)/(dx) is equal to

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)

If sin^(-1)x + tan ^(-1) x = (pi)/(2) , then prove that 2x^(2) + 1 = sqrt(5)

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))

If y = ( tan x)/( 1+ tan^2 x), Prove that (dy)/(dx) = cos 2x.

If x=sin(2tan^(-1)2)and y=sin((1)/(2)tan^(-1).(4)/(3)) , then prove that y^2 = 1 - x