Home
Class 12
MATHS
If y=x-x^2+x^3-x^4+.....then x is equal ...

If y=`x-x^2+x^3-x^4+.....`then x is equal to` is

A

`(1-y)/y`

B

`(1+y)/y`

C

`y/(1+y)`

D

`y/(1-y)`

Text Solution

Verified by Experts

`"As "f(x) = x^(4) tan (x^(3))-x" In "(1+x^(2))" is odd, "(d^(3)f(x))/(dx^(3))` is even
`"Hence, "(d^(4)f(x))/(dx^(4))=0at x = 0.`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|29 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Linked Comprehension Type|23 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Concept Application 3.9|14 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|578 Videos

  • DOT PRODUCT

    CENGAGE PUBLICATION|Exercise DPP 2.1|15 Videos

Similar Questions

Explore conceptually related problems

If x^2+y^2=1 and P=(3x-4x^3)^2+(3y-4y^3)^2 then P is equal to

If 2f(x) + 3f(-x) =15 -4x, then f(x) is equal to-

If (x-a) is a factor of x^3-a^2x+x+2, then 'a' is equal to

The dervative of f (x) =|x-1| + |x-4| at x=3 is equal to-

If |[x,3, 6],[ 3, 6,x],[6,x,3]|=|[2,x,7],[x,7, 2],[ 7, 2,x]|=|[4, 5,x],[5,x,4],[x,4, 5]|=0, then x is equal to a. 0 b. -9 c. 3 d. none of these

If y=intsqrt(x)(1+x^(1/3))^4dx is equal to

A= {(x,y) in R^2 : x ne0 and y=(1/x)} and B= {(x,y) in R^2:y=-x} then A capB is equal to

int (x^2 - 1)/((x^3)sqrt(2x^4- 2x^2 + 1)) dx is equal to

If cot^(2)x=cot(x-y)*cot(x-z) , then cot2x is equal to (x!= pm pi/4)

CENGAGE PUBLICATION-DIFFERENTIATION-Execrises
  1. If x = log p and y=(1)/(p), then

    Text Solution

    |

  2. "If "x=sint, y=tant," then "dy/dx is

    Text Solution

    |

  3. If y=x-x^2+x^3-x^4+.....then x is equal to is

    Text Solution

    |

  4. If graph of y=f(x) is symmetrical about the y-axis and that of y=g(x) ...

    Text Solution

    |

  5. Let g(x) be the inverse of an invertible function f(x), which is diffe...

    Text Solution

    |

  6. f(x)=e^(x)-e^(-x)-2 sin x -(2)/(3)x^(3). Then the least value of n for...

    Text Solution

    |

  7. Let y=f(x) and x=(1)/(z)." If "(d^(2)y)/(dx^(2))=lamda(z^(3))(dy)/(dz)...

    Text Solution

    |

  8. Let x=f(t) and y=g(t), where x and y are twice differentiable function...

    Text Solution

    |

  9. If f(x) satisfies the relation f((5x-3y)/2)=(5f(x)-3f(y))/2AAx ,y in ...

    Text Solution

    |

  10. If y^2 +b^2 =2xy,then dy/dx equals

    Text Solution

    |

  11. If y=asinx+bcosx ,t h e ny^2+((dy)/(dx))^2 is a function of x (b) func...

    Text Solution

    |

  12. find dy/dx ,(sqrt((1-sin2x)/(1+sin2x))) is equal to, 0ltxltpi/2

    Text Solution

    |

  13. If y=|cosx|+|sinx|,then(dy/dx)"at"x=(2pi)/3 is

    Text Solution

    |

  14. If f(x) =|log(e)|x||, then f'(x) equals

    Text Solution

    |

  15. if f(x) = sqrt(1-sin2x), then f'(x) is equal to

    Text Solution

    |

  16. Instead of the usual definition of derivative Df(x), if we define a ne...

    Text Solution

    |

  17. if y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/(sqrt(a-x+sqrt(x-b)))," then "(dy...

    Text Solution

    |

  18. The derivative of y=(1-x)(2-x)....(n-x) at x=1 is (a)0 (b) (-1)(n...

    Text Solution

    |

  19. " If "y=sqrt((1-x)/(1+x))," then "(1-x^(2))(dy)/(dx) is equal to

    Text Solution

    |

  20. If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)),t h e n(dy)/(dx)i se...

    Text Solution

    |