Home
Class 12
MATHS
tan^(-1)((5x+1)/(3-x-6x^(2)))...

`tan^(-1)((5x+1)/(3-x-6x^(2)))`

A

` (3)/( 9x^(2) +12x +5) -( 2)/( 2x^(2) -2x +1)`

B

` (3)/( 9x^(2) +12x +5)+ ( 2)/( 2x^(2) -2x +1)`

C

` (3)/( 9x^(2) +12x +5)-( 1)/( 2x^(2) -2x +1)`

D

` (3)/( 9x^(2) +12x +5)+ ( 1)/( 2x^(2) -2x +1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos
  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

y= tan^(-1)((5-x)/(6x^(2)-5x-3)) find dy/dx

Differentiate tan^(-1){(5x)/(1-6x^(2))}-(1)/(sqrt(6))

tan^(-1)((6x)/(1+16x^(2)))

tan^-1((5x)/(1-6x^2))

Fin d (dy)/(dx) ify =tan^(-1)((6x)/(1-5x^(2))) dy,1 Find if y=tan1-5x2

Prove that tan^(-1)((6x-8x^(3))/(1-12x^(2)))-tan^(-1)((4x)/(1-4x^(2)))=tan^(-1)2x;|2x|<(1)/(sqrt(3))

Given that , tan^(-1) ((2x)/(1-x^(2))) = {{:(2 tan^(-1) x"," |x| le 1),(-pi +2 tan^(-1)x","x gt 1),(pi+2 tan^(-1)x"," x lt -1):} sin^(-1)((2x)/(1+x^(2))) ={{:(2 tan^(-1)x","|x|le1),(pi -2 tan^(-1)x","x gt 1 and ),(-(pi+2tan^(-1))","x lt -1):} sin^(-1) x + cos^(-1) x = pi//2 " for " - 1 le x le 1 If cos^(-1). (6x)/(1 + 9x^(2)) = - pi/2 + 2 tan^(-1) 3x" , then " x in

(d)/(dx)[tan^(-1)((6x)/(1+7x^(2)))]+(d)/(dx)[tan^(-1)((5+2x)/(2-5x))]=

Find the sum of each of the following series: (i) tan^(-1)((1)/(x^(2)+x+1))+tan^(-1)((1)/(x^(2)+3x+3))+tan^(-1)((1)/(x^(2)+5X+7))+tan^(-1)((1)/(x^(2))+7x+13))...... upto n.