Home
Class 12
MATHS
Examine whether Rolle's theorem is appli...

Examine whether Rolle's theorem is applicable to the function `f(x) = cot x` in `-pi/2le x le pi/2`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Rolle's theorem is not applicable to the function f(x)=|x| for -2lexle2 because

Examine whether Rolle's theorem is applicable to the following functions in the given intervals : f(x)=cot x" in " -(pi)/(2) le x le (pi)/(2)

Examine whether Rolle's theorem is applicable to the following function in the given intervals: f(x) = cos x in - pi/2 le x le pi/2

Examine whether Rolle's theorem is applicable to the following functions in the given intervals : f(x)=|x|" in " -1 le x le 1

Examine whether Rolle's theorem is applicable to the following functions in the given intervals : f(x)=1+(x-3)^((2)/(3))" in " 2 le x le 4

State Rolle's theorem. Is this theorem applicable to the function f(x)=x in the interval -1 le x le 1 ?

Check wheather Rolle's theorem is applicable on f(x) = x^2-8x+12 on [2,6].

Verify Rolle's theorem for the functions f(x)=sin x+cos x" in " 0 le x le (pi)/(2)

Verify Rolle's theorem for the function f(x) = sin x + cosx in the interval ole x le pi//2

Verify the truth of Rolle's theorem for the functions: f(x)=cos^(2)x" in " -(pi)/(4) le x le (pi)/(4)

UNITED BOOK HOUSE-SET 9-EXERCISE
  1. Find the matrix A , when A^(-1) = [[cos theta, sin theta],[-sin theta,...

    Text Solution

    |

  2. Evaluate : underset(x to e)"Lt"(logx-1)/(x-e)

    Text Solution

    |

  3. Examine whether Rolle's theorem is applicable to the function f(x) = c...

    Text Solution

    |

  4. int((x^2+sin^2x)/(1+x^2))sec^2xdx is equals

    Text Solution

    |

  5. Find the degree and order of the differetial equation 1+((d^3y)/(dx^3)...

    Text Solution

    |

  6. answer any three questions: (iii) if x>0 ,y>0 and xy=25, then find the...

    Text Solution

    |

  7. Find the value of tan 44^@, given tan1^@ = 0.01745.

    Text Solution

    |

  8. Find the direction cosines and direction ratios of the vector 2 hati +...

    Text Solution

    |

  9. The cartesian equation of a line AB is (3-x)/1=(y+2)/-2=(z-5)/4. Find ...

    Text Solution

    |

  10. If P(barA uu bar B)= 5/6, P(A)= 1/2 and P(bar B)= 2/3 show that A and ...

    Text Solution

    |

  11. Find the probability that in a family of 4 children there will be at l...

    Text Solution

    |

  12. answer any one question : (ii) prove that , tan(pi/4 +1/2 (cos ^(-1) (...

    Text Solution

    |

  13. If A = [[3,1],[-1,2]],I= [[1,0],[0,1]] and O = [[0,0],[0,0]] show that...

    Text Solution

    |

  14. Show that, A = 1/3[[1,2,2],[2,1,-1],[-2,2,-1]] are orthogonal matrix a...

    Text Solution

    |

  15. Solve for x |x-2 , 2x-3, 3x-4,x-4 ,2x-9, 3x-16 ,x-8, 2x-27, 3x-64|=0.

    Text Solution

    |

  16. Show that the following determinant is a perfect square |[1,a,a^2],[a^...

    Text Solution

    |

  17. If siny = x sin(a+y) then show that (dy)/(dx)= (sina)/(1-2xcos a+x^2).

    Text Solution

    |

  18. Let y = (sin^(-1)x)^2+(cos^(-1)x)^2 show that (1-x^2)(d^2y)/(dx^2)-x(d...

    Text Solution

    |

  19. Evaluate: int (dx)/(1+x^3)

    Text Solution

    |

  20. Evaluate: int (x^2dx)/(x^4-x^2+1).

    Text Solution

    |