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

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

A

` (2)/( 2x^(2) +2x+ 1) + ( 3)/( 9x^(2) -24x +17)`

B

` (2)/( 2x^(2) +2x+ 1) - ( 3)/( 9x^(2) -24x +17)`

C

` (1)/( 2x^(2) +2x+ 1) + ( 3)/( 9x^(2) -24x +17)`

D

` (1)/( 2x^(2) +2x+ 1) - ( 3)/( 9x^(2) -24x +17)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

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

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

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

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.

If y=tan^(-1)((1)/(x^(2)+x+1))+tan^(-1)((1)/(x^(2)+3x+3))+tan^(-1)((1)/(x^(2)+5x+7))+ to nterms,show that (dy)/(dx)=(1)/((x+n)^(2)+1)-(1)/(x^(2)+1)

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

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

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

If y=tan ^(-1) ((4x)/( 1+5x^(2))) +cot ^(-1) ((3-2x)/( 2+3x)),then (dy)/(dx)=

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

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If y=tan ^(-1) ((log ( (e)/( x^(3))) )/( log ( ex^(3)) ) ),then (dy)/...

    Text Solution

    |

  2. If y =tan ^(-1) ((sqrt( a) -sqrt(x)) /( 1+sqrt( ax)) ) ,then (dy)/(dx)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If y=tan ^(-1) ((x-a)/( x+a)),then (dy)/(dx)=

    Text Solution

    |

  6. If y= tan ^(-1) ((acos x -bsin x )/( bcos x+asin x ) ) ,then (dy)/(dx...

    Text Solution

    |

  7. If y = cot^(-1) ((1 -x)/(1 +x)) " then " (dy)/(dx) = ?

    Text Solution

    |

  8. If y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))]...

    Text Solution

    |

  9. If y =cot ^(-1) ((3+4tan x )/( 4-3tan x) ) ,then (dy)/(dx)=

    Text Solution

    |

  10. If y=tan ^(-1) ((4x)/( 1+5x^(2))) +cot ^(-1) ((3-2x)/( 2+3x)),then (dy...

    Text Solution

    |

  11. If the inverse function of y=f(x) is x=g(y) and f'(x) = 1/(1+x^2) , th...

    Text Solution

    |

  12. If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...

    Text Solution

    |

  13. Let f(x)=(x^2-x)/(x^2+2x) then d(f^(-1)x)/(dx) is equal to

    Text Solution

    |

  14. If y= e^(m sin ^(-1)) x and (1-x^(2))((dy)/(dx))^(2)= Ay^(2). then ...

    Text Solution

    |

  15. If y= (x+3)^(4) (x+4)^(5) (x+5) ^(6) ,then ( dy)/(dx)=

    Text Solution

    |

  16. If y=( x+1)^((3)/(2) )(2x+3)^((5)/(2))(7-3x) ^((7)/(2)),then (dy)/(dx...

    Text Solution

    |

  17. If y=e^(3x) sin ^(2)x log x ,then (dy)/(dx)=

    Text Solution

    |

  18. If y = sqrt(((x-1)(x-2))/((x-3)(x-4)(x-5)))" then "(dy)/(dx) is equal...

    Text Solution

    |

  19. If y=sqrt(((x-3)(x^(2)+4))/((3x^(2)+4x+5))), find (dy)/(dx).

    Text Solution

    |

  20. y=sqrt(((2x+3)^(5))/((3x-1)^(3)(5x-2)))

    Text Solution

    |