Home
Class 12
MATHS
So that x^5+x+1=0 for some value of x be...

So that `x^5+x+1=0` for some value of x between -1 and 0.

Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES

    MODERN PUBLICATION|Exercise PROBLEM|2 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise PROBLEM|44 Videos

Similar Questions

Explore conceptually related problems

Prove that e^x-2=0 has a solution between 0 and 1.

IF the derivative of tan ^(-1)(a + bx) w.r.t.x takes the value 1 at x= 0, write the relationship between a and b.

Show that (x^(5) - 5x^(4) + 5x^(3) - 1) has local maximum value when x = 1, a local minimum value when x = 3 and neither when x = 0.

Write the value of df, if f(x) = ln (1 + x), x = 1 and &x=0.04.

What is the value of delta y, if y = x^2 - 1 , x=1 and delta x = 0.02?

what is the value of int_0^(1) x(1-x)^99 dx ?

If f(x) = {((1-cos4x)/x^2, when x 0):} . is continuous at x=0, then the value of a will be.

The function f(x) = {[6.5, for x le 0],[2a + x, forx>0]:} continuous at x = 0. Then what is value of a ?

Fill in the blank choosing correct answer from the brackets The value of sin (tan^(-1) x + tan^(-1) 1/x, x gt 0_____ . (0,1,1/2)

If [{:(3,2),(7,x):}][{:(5,-2),(-7,y):}]=[{:(1,0),(0,1):}] then find the value of x and y .

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PROBLEM
  1. Show that f(x)={(x sin frac{1}{x}, xne0),(o,x=0):} is continuous at x...

    Text Solution

    |

  2. Prove that e^x-2=0 has a solution between 0 and 1.

    Text Solution

    |

  3. So that x^5+x+1=0 for some value of x between -1 and 0.

    Text Solution

    |

  4. Examine continuity and differentiability f(x)={[(1-e^(-x))/x,x!=0],[1,...

    Text Solution

    |

  5. If x=2costheta-cos2theta , y= 2sintheta-sin2theta then find d^(2)y/dx^...

    Text Solution

    |

  6. If y =(sin^(-1) x)^2, prove that (1-x^2)y2 - xy1 - 2 = 0

    Text Solution

    |

  7. Find dy/dx for the following . y=log(2)sqrtsinphi(x).

    Text Solution

    |

  8. Find dy/dx if (x/a)^(2/3) + (y/b)^(2/3) = 1

    Text Solution

    |

  9. Find dy/dx if y = x cot^(-1) (x/y)

    Text Solution

    |

  10. Find dy/dx if (cosx)^(y)=(siny)^(x)

    Text Solution

    |

  11. Find (dy)/(dx), if y=tan^(-1)((cosx)/(1+sinx)).

    Text Solution

    |

  12. Find dy/dx if e^(3x)In(sin2x)+e^sqrtcosx.

    Text Solution

    |

  13. Differentiate tan^(-1) ((1+sinx)/(1-sinx))^(1/2) w.r.t. log((1+cosx)/(...

    Text Solution

    |

  14. Find dy/dx y=tan^(-1)(xsinalpha-xcosalpha)

    Text Solution

    |

  15. Find dy/dx y = cos^(-1)(1-1/x-1/x^(2))^(1/2)

    Text Solution

    |

  16. Find dy/dx x=cos^(3)t/sqrtcos2t, y=sin^(3)t/sqrt cos2t

    Text Solution

    |

  17. If x =sin t,y = sin 2t then prove that (1-x^2)(d^2y)/(dx^2)- x dy/dx +...

    Text Solution

    |

  18. If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 = m^2y

    Text Solution

    |

  19. Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...

    Text Solution

    |

  20. If sqrt(1-x^4) + sqrt(1-y^4) =k(x^2 - y^2) then show that dy/dx = {x...

    Text Solution

    |