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

Find the rate of change of y with respect to x when x=1 ,given that y=x^(2)

Let y= (x + (1)/(x))^(2) Find the rate of change of y with respect to x when x=2.

Let y=x^(2/3) + 2x^2 .Find the instantaneous rate of change of y with respect to x at x = 1.

Let y= (x+3) /( x) .Find the instantaneous rate of change of y with respect to x at x = 3.

The rate of change of sqrt(x^2+16) with respect to x/(x-1) at x=3 is

Find the derivative of y=sqrt(x-2) with respect to x

Let y= x+(1)/(x) .Find the rate of change of y w.r.t. x at x=2.

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

Find the rate of at which the function f(x)=x^4-2x^3+3x^2+x+5 changes with respect to x .

Find the derivative of function 3a x^2+2b x+c=y with respect to x

ALLEN-TEST PAPER 4-PHYSICS
  1. Given that =(10)/(sin x+ sqrt3 cos x) the minimum positive value of y ...

    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. (5)Value of underset(0)overset(2)int3x^(2)dx+underset(0)overset(pi/2)i...

    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 position 'x' of a particle moving along x-axis at any instant t re...

    Text Solution

    |

  16. The position x of a particle w.r.t. time t along x-axis is given by a ...

    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= sin x+cos x then (d^(2)y)/(dx^(2)) is :-

    Text Solution

    |