Home
Class 12
PHYSICS
Given a function y=x^(2)-2sqrt(x). What ...

Given a function `y=x^(2)-2sqrt(x)`. What is rate of change in y with respect to x when x=I?

A

Zero

B

1

C

1.5

D

`-1.5`

Text Solution

Verified by Experts

The correct Answer is:
B

`y=x^(2)-2sqrtx`
`(dy)/(dx) =2x xx1/2 (x)^(1/2)`
`(dy)/(dx)|_(x=1)=2xx1-(1)/(sqrt1)=1`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Given that y=sin3x+(4)/(3)cos3x . What is the maximum rate of change in y with respect to x ?

If x and y are the sides of two squares such that y=x-x^(2) . Then the rate of change, if the area of second square with respect to the first square, when x = 2, is ……….

The sides of two squares are x and y respectively, such that y= x+x^(2) . The rate of change of area of second square with respect to area of first square is ______

x and y are the sides of two squares such that y=x-x^(2) . Find the rate of change of the area of second square with respect to the area of first square.

Differentiate the following functions with respect to x. x^(y) + y^(x)= 1000

The following curve represents a function y=f(x) . Find average value of y when x changes from 0 to 6

Differentiate the functions with respect to x in 2 sqrt(cot (x^(2)))

Differentiate the following functions with respect to x: x^(2) + y^(2) = xy

ALLEN -TEST PAPER 4-PHYSICS
  1. Given that y=(10)/(sinx+sqrt(3)cosx).Minimum value of y is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If y=sinx+cosx" then "(d^(2)y)/(dx^(2)) is :-

    Text Solution

    |