Home
Class 12
MATHS
If y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)), then...

If `y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)),` then find `(dy)/(dx)a tx=0.`

A

1

B

`-1`

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section -B|35 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - C ( More than one options are correct )|5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Try youself|16 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

If y=(1+x)(1+x^(2))(1+x^(4))...(1+x^(2n)) then find (dy)/(dx) at x=0

If y=(1+x)(1+x^(2))(1+x^(4))...(1+x^(2^(n))) then (dy)/(dx) at x=0 is

If y=(1+x)(1+x^(2))(1+x^(4))(1+x^(8)) then (dy)/(dx) is:

If f'(x)=sqrt(2x^(2)-1) and y=f(x^(2)), then find (dy)/(dx) at x=1

If y=(x+(1)/(x))^(x)+(x^(2)+1)/(x^(2)-1), find (dy)/(dx)

If y=[(x^(2)+1)/(x+1)] , then find (dy)/(dx) .

y=x^(x cos x)+(x^(2)+1)/(x^(2)-1), find (dy)/(dx)

If y=f((2x-1)/(x^(2)+1)) and f'(x)=sin x^(2), find (dy)/(dx)

AAKASH INSTITUTE-CONTINUITY AND DIFFERENTIABILITY-Assignment ( section -A)
  1. If y=(log x)/(x) then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  2. Differentiate the following w.r.t.x. The differentiation coneffiecient...

    Text Solution

    |

  3. If y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)), then find (dy)/(dx)a tx=0.

    Text Solution

    |

  4. If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

    Text Solution

    |

  5. If y = cos^(-1)(cos x) then dy/dx at x = (5pi)/4 is (i)1 (ii)-1 (ii...

    Text Solution

    |

  6. If x=e^y+e^((y+ tooo)) , x >0 , then (dy)/(dx) is equal to........

    Text Solution

    |

  7. if x^y . y^x =16 then dy/dx at (2,2) is equal to

    Text Solution

    |

  8. If y = sin x^(@) " and " u = cos x " then " (dy)/(dx) is equal to

    Text Solution

    |

  9. Let the function y = f(x) be given by x= t^(5) -5t^(3) -20t +7 ...

    Text Solution

    |

  10. If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...

    Text Solution

    |

  11. The differential coefficient of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2)...

    Text Solution

    |

  12. If t(1+x^2)=x and x^2+t^2=y then dy/dx at x=2 is

    Text Solution

    |

  13. x=t cost, y=t+sin t. Then (d^2 x)/(dy^2) at t=pi/2 is

    Text Solution

    |

  14. if y = sin 2x , " then " (d^(6)y)/(dx^(6)) " at" x = pi/2 is equal to

    Text Solution

    |

  15. Let f(x) =|{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}| where p is...

    Text Solution

    |

  16. If x=2a t , y=a t^2 , where a is a constant, then find (d^2y)/(dx^2...

    Text Solution

    |

  17. If y = x^(1/x) , the value of (dy)/(dx) at x =e is equal to

    Text Solution

    |

  18. If y = tan^(1-) sqrt((x+1)/(x-1)) " for " |x| gt 1 " then " (dy)/(dx)...

    Text Solution

    |

  19. If y="log"(2)"log"(2)(x), then (dy)/(dx) is equal to

    Text Solution

    |

  20. if f'(x)=sqrt(2x^2-1) and y=f(x^2) then (dy)/(dx) at x=1 is:

    Text Solution

    |