Home
Class 12
PHYSICS
Differentiation of cos (sqrt(x)) with re...

Differentiation of cos `(sqrt(x))` with respect to x is

A

`-sin sqrtx`

B

`(1)/(2sqrtx) sin sqrtx`

C

`-sqrtx sin sqrtx`

D

`-(1)/(sqrtx) sin sqrtx`

Text Solution

Verified by Experts

The correct Answer is:
B
`y=cos (sqrtx)`
`(dy)/(dx) =-sin sqrtx(d)/(dx)(sqrtx) =(-1)/(2sqrtx) sin sqrtx`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Differentiate cos (tan sqrt(x+ 1))

Differentiate sin(cos x^(2)) with respect to x

Differentiate the functions with respect to x in cos (sqrtx)

Differentiate the functions with respect to x in cos (sin x)

Differentiate the functions with respect to x in (sin (ax + b))/(cos(cx + d))

Differentiate the functions with respect to x in sin (x^(2) + 5)

Differentiate the functions with respect to x in cos(x^(3)).sin^(2) (x^(5))

Differentiate the functions with respect to x in Exerecises 1 to 8. cos x^(3). Sin^(2) (x^5) .

ALLEN -TEST PAPER 4-PHYSICS
  1. If y=5 (sin 100^(@)cos 27^(@) +cos 100^(@)sin 27^(@)) the value of y i...

    Text Solution

    |

  2. Given that y=(10)/(sinx+sqrt(3)cosx).Minimum value of y is

    Text Solution

    |

  3. Differentiation of cos (sqrt(x)) with respect to x is

    Text Solution

    |

  4. Given a function y=x^(2)-2sqrt(x). What is rate of change in y with re...

    Text Solution

    |

  5. If y=(x^(2))/((x+1))"then"(dy)/(dx)"is":-

    Text Solution

    |

  6. If y=log(e)x+sinx+e^(x)" then "(dy)/(dx) is

    Text Solution

    |

  7. If y=x^(3)cosx" then "(dy)/(dx)=……………………

    Text Solution

    |

  8. If the velocity of a paraticle moving along x-axis is given as v=(4t^(...

    Text Solution

    |

  9. Value of int(0)^(2)3x^(2)dx+int(0)^(pi//2)sinxdxis

    Text Solution

    |

  10. The value of integral underset(2)overset(4)int(dx)/(x) is :-

    Text Solution

    |

  11. Area bounded by curve y=sinx, whit x-axis, when x varies from 0 to (pi...

    Text Solution

    |

  12. If velocity of a particle is given by v=(2t+3)m//s. Then average veloc...

    Text Solution

    |

  13. Angle of elevation of top of building is 30^(@) from place A and beco...

    Text Solution

    |

  14. If Electric-current 'i' time (t) graph shown in figure. The average cu...

    Text Solution

    |

  15. A man travels one-third part of his total distance with speed v(1) and...

    Text Solution

    |

  16. The relation t=sqrt(x)+3 describes the position of a particle where x ...

    Text Solution

    |

  17. The position x of a particle with respect to time t along x-axis is gi...

    Text Solution

    |

  18. For an object starting from rest with uniform acceleration which of th...

    Text Solution

    |

  19. The slope of the tangent to the curve y=ln(cosx)" at "x=(3pi)/(4)" i...

    Text Solution

    |

  20. A particle moves along the x-axis such that its co-ordinate (x) varies...

    Text Solution

    |