Home
Class 12
MATHS
If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(pri...

If `f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2)` is `(sqrt(pi))/6` (b) `-sqrt(pi//6)` `1//sqrt(6)` (d) `pi//sqrt(6)`

A

`sqrt(pi)/(6)`

B

`-sqrt((pi)/(6))`

C

`(1)/(sqrt6)`

D

`(pi)/(sqrt6)`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 23

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper-2(MATHEMATICS)|50 Videos

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|4 Videos

Similar Questions

Explore conceptually related problems

If f(x)=sqrt(1+cos^(2)(x^(2))), then f'((sqrt(pi))/(2)) is (sqrt(pi))/(6)(b)-sqrt(pi/6)1/sqrt(6)(d)pi/sqrt(6)

If f(x)=cot^(-1)sqrt(cos2x)," then: "f'((pi)/(6))=

sin(pi-6x)+sqrt3 sin(pi/2+6x)=sqrt3

If int_ (0)^(oo) e^(-x^(2)) dx = (sqrt (pi))/(2), and int_ (0)^(oo) e^(-ax^(2) ) dx, a> 0 is (i) (sqrt (pi))/(2) (ii) (sqrt (pi))/(2a) (iii) 2 (sqrt (pi))/(a) (iv) (1)/(2) sqrt ((pi)/(a))

If int_(0)^(oo)e^(-x^(2))dx=(sqrt(pi))/(2), then int_(0)^(oo)e^(-ax^(2))dx where a>0 is: (A)(sqrt(pi))/(2) (B) (sqrt(pi))/(2a)(C)2(sqrt(pi))/(a) (D) (1)/(2)(sqrt((pi)/(a)))

Evaluate cos [(pi)/(6) + cos^(-1) (-(sqrt(3))/(2))]

the greater number between sqrt(pi)-sqrt(12) and sqrt(pi)-sqrt(6)

Let f(x) be a non-negative continuous function such that the area bounded by the curve y=f(x), the x -axis,and the ordinates x=(pi)/(4) and x=beta>(pi)/(4) is beta sin beta+(pi)/(4)cos beta+sqrt(2)beta Then f'((pi)/(2)) is ((pi)/(2)-sqrt(2)-1)( b) ((pi)/(4)+sqrt(2)-1)-(pi)/(2)( d) (1-(pi)/(4)-sqrt(2))

The amplitude of (1+i sqrt(3))/(sqrt(3)+i) is (pi)/(3) b.-(pi)/(6) c.(pi)/(3) d.(pi)/(6)

int_(0)^(3)(3x+1)/(x^(2)+9)dx=(pi)/(12)+log(2sqrt(2))(b)(pi)/(2)+log(2sqrt(2))quad (c)(pi)/(6)+log(2sqrt(2))(d)(pi)/(3)+log(2sqrt(2))

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 24-Paper 2 (Mathmatics)
  1. The diection cosines of two lines are proportional to (2,3,-6) and (3,...

    Text Solution

    |

  2. Find the probability that a leap year will have 53 Friday or 53 Sat...

    Text Solution

    |

  3. If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2) is (sqrt(pi)...

    Text Solution

    |

  4. The sum of the series 1^(3) + 2 ^(3) + 3^(3) + ...+15^(3) is

    Text Solution

    |

  5. Degree of the differential equation e^(dy/dx) = x is

    Text Solution

    |

  6. In a Boolean Algebra B, for all x in B. 1' is equal to

    Text Solution

    |

  7. A survey shows that 63% of the Americans like cheese 4 whereas 76% lik...

    Text Solution

    |

  8. Circle x^2 + y^2 - 2x - lambdax - 1 = 0 passes through to fixed points...

    Text Solution

    |

  9. If |a| = 3 , |b| = 4 , then a value of lamda for which a + lamda b i...

    Text Solution

    |

  10. The minimum value of P = 6x + 16y subject to constraints x le 40 , y ...

    Text Solution

    |

  11. If a dice is thrown twice, the probability of occurrence of 4 atleast ...

    Text Solution

    |

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

    Text Solution

    |

  13. int(0)^(8)|x-5|dx=17

    Text Solution

    |

  14. Let A = {1, 2, 3, 4) and R be the relation on A defined by {(a, b) : a...

    Text Solution

    |

  15. Which of the following is not a statement ?

    Text Solution

    |

  16. The number of point at which the function f(x)=|x-1|+[x-2]+cosx, where...

    Text Solution

    |

  17. The radius of a cylinder is increasing at the rate of 3ms^(-1) and its...

    Text Solution

    |

  18. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is (...

    Text Solution

    |

  19. Find the output for the given input for the given circuit

    Text Solution

    |

  20. Let S be set of all real numbers and let R be relation on s , de...

    Text Solution

    |