Home
Class 11
MATHS
If y = cos ^(-1) (cosx) , then (dy)/(dx)...

If `y = cos ^(-1) (cosx)` , then `(dy)/(dx) ` at ` x = (5pi)/4` is

A

1

B

`-1`

C

`1/sqrt2`

D

`(5pi)/4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|8 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (Linked Comprehension Type Questions)|6 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(INTEGER TYPE QUESTIONS)|14 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

If y = sin^(-1)(cos x) then find (dy)/(dx)

If y= x^(cosx) then (dy)/(dx)=

If y = Tan^(-1)(cot(pi/2-x)) then (dy)/(dx) =

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

If x = a cos^(4)t , y = b sin^(4)t then (dy)/(dx) at t = (3pi)/4 is

If y = "cos^(-1)((2x)/(1 + x^2)) , then (dy)/(dx) is

If y = cos (3 Cos ^(-1) x ) then (dy )/(dx ^(3))=

If y = Tan^(-1)((cosx)/(1+sinx)) then (dy)/(dx) =

If y = Tan^(-1)(cos sqrt(x)) then find (dy)/(dx)

If y=sin^(-1)(cosx) then find dy/dx .

AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
  1. d/(dx)(Tan^(-1)(sinhx))=

    Text Solution

    |

  2. If y= Tan^(-1)""(sqrt(1+x^2) -1)/x then (dy)/(dx)=

    Text Solution

    |

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

    Text Solution

    |

  4. The first derivative of the fuctioncos^(-1)(sinsqrt(1+x)/2)+x^x with ...

    Text Solution

    |

  5. d/(dx){Cot^(-1)""(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))}

    Text Solution

    |

  6. d/(dx){sec^(-1)""(1)/(sqrt(1-x^2))+cot^(-1)""(sqrt(1-x^2))/x} =

    Text Solution

    |

  7. d/(dx)[cos^(-1)(xsqrtx-sqrt((1-x)(1-x^2)))] =

    Text Solution

    |

  8. If x is measured in degree , then d/(dx) (cosx) is equal to

    Text Solution

    |

  9. If y = sqrt((secx-1)/(sec x +1) ) then (dy)/(dx)=

    Text Solution

    |

  10. If sqrt(1- x ^(2)) + sqrt(1- y ^(2) ) = a (x -y) then (dy)/(dx)=

    Text Solution

    |

  11. If f(x) = |cos x - sin x| , then f^(1)(pi/4) =

    Text Solution

    |

  12. If f^(1)(x)=sin(logx)andy=f((2x+3)/(3-2x)) then (dy)/(dx) is

    Text Solution

    |

  13. The value of 3 f(x ) - 2 f(1/x)=x then f^(1)(2) =

    Text Solution

    |

  14. If u = f(x^2) , v = g(x^3), f^(1)(x) = sinx , g^(1)(x) = cos x then fi...

    Text Solution

    |

  15. If sqrt(u/v)+sqrt(v/u)=6 , then (du)/(dv) =

    Text Solution

    |

  16. If x = theta -(1)/(theta) , y = theta + (1)/(theta) then (dy)/(dx) =

    Text Solution

    |

  17. sqrt((y)/( x))+ sqrt((x)/(y))= 2 implies (dy)/(dx) =

    Text Solution

    |

  18. If f(x) = (ax + b) Cos x +(cx +d) Sin x and f^(1) (x) = x Cosx is an a...

    Text Solution

    |

  19. If f(1) = 3 ,f'(1)=-1/3 , then the derivative of {x^(11) +f(x)}^(-2) a...

    Text Solution

    |

  20. Let f(x+y)=f(x)f(y) and f(x) = 1 + (sin2x) g(x) where g(x) is continu...

    Text Solution

    |