Home
Class 11
MATHS
If tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(...

If `tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2)))=k tan^(-1)(x/a)` then k=

A

2

B

3

C

`-2`

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)|6 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|7 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

Tan^(-1)((3x-x^(3))/(1-3x^(2)))=

If y = Tan^(-1)((3a^2x-x^3)/(a^3-3ax^2)) then (dy)/(dx)=

Write the following function in the simplest form : tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2))),agt0,(-1)/(sqrt(3))ltxlta/(sqrt(3))

If int (x^(2)-a^(2))/(x^(2)+a^(2))dx=x+k "tan"^(-1)(x)/(a)+c then k=

If y = tan^(-1)((3x-x^(3))/(1-3x^(2))) + tan^(-1) ((4x-4x^(3))/(1-6x^(2) + 4x^(4))) then (dy)/(dx) =

If y = tan ^(-1) ((2x )/( 1 -x ^(2))) + tan ^(-1) ((3x - x ^(3))/( 1 - 3x ^(2)))- tan ^(-1) ((4x - 4x ^(3))/( 1 - 6x + x ^(4))), then show that (dy)/(dx) = (1)/(1 + x ^(2)).

Find the derivative of Tan^(-1)((3a^(2)x-x^(3))/(a(a^(2)-3x^(2)))) .

If tan^(-1)(3)+tan^(-1)(x)=tan^(-1)(8) then x=