Home
Class 12
MATHS
If y = tan x tan 2x tan 3x, (sin 12x != ...

If `y = tan x tan 2x tan 3x, (sin 12x != 0)` then `dy / dx` has the value equal to

A

`3sec^(2)3xtanx tan2x+sec^(2)x tan2xtan3x+2sec^(2)2xtan3xtanx`

B

`2y(cosec 2x+2 cosec 4x+3cosec6x)`

C

`3sec^(2)3x-2sec^(2)2x-sec^(2)x`

D

`sec^(2)x+2sec^(2)2x+3sec^(2)3x`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|16 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|8 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int tan x tan 2 x tan 3x dx

If tan^-1 2x + tan^-1 3x = pi/2 , then the value of x is equal to

lf y = (x tan x)^x , then find dy/dx .

Solve (tan 3x - tan 2x)/(1+tan 3x tan 2x)=1 .

lf y = x^(tan x) + (tan x)^x then find dy/dx .

Solve : tan x + tan 2x + tan 3x = tan x tan 2x tan3x .

If y = sec(tan^-1x) , then dy/dx at x =1 is equal to

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the grea...

    Text Solution

    |

  2. The functions u=e^(x).sinx and v=e^(x).cosx satisfy the equation

    Text Solution

    |

  3. If f(x)=log(x^(2))(logx),then f '(x)at x= e is

    Text Solution

    |

  4. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

    Text Solution

    |

  5. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  6. "If "y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo))))," then prove that "(dy)/(...

    Text Solution

    |

  7. If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

    Text Solution

    |

  8. Let f(x)=x^2+xg'(1)+g''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then find ...

    Text Solution

    |

  9. if f(x) = x^n then the value of f(1) - (f'(1))/(1!) + (f''(1))/(2!) +...

    Text Solution

    |

  10. If y+log(1+x)=0 which of the following is true?

    Text Solution

    |

  11. If y=2^(3^(x)), then y' equals

    Text Solution

    |

  12. If g is the inverse of fandf(x) = x^(2)+3x-3,(xgt0). then g'(1) equal...

    Text Solution

    |

  13. If x^(3)-2x^(2)y^(2)+5x+y-5=0 and y(1) = 1, then a. y'(1)=(4)/(3) b. y...

    Text Solution

    |

  14. Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to

    Text Solution

    |

  15. Ify=x^((lnx)^ln(lnx)) , then (dy)/(dx) is equal to

    Text Solution

    |

  16. Which of the following functions are not derivable at x=0?

    Text Solution

    |

  17. If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to

    Text Solution

    |

  18. For the function y=f(x)=(x^(2)+bx+c)e^(x), which of the following hold...

    Text Solution

    |

  19. If sqrt(y+x)+sqrt(y-x)=c, where cne0, then (dy)/(dx) has the value equ...

    Text Solution

    |

  20. If y = tan x tan 2x tan 3x, (sin 12x != 0) then dy / dx has the value ...

    Text Solution

    |