Home
Class 11
MATHS
If pv = 81, then (dp)/(dv) at v=9 is ….....

If `pv = 81`, then `(dp)/(dv)` at `v=9` is …............. .

A

`1`

B

`-1`

C

`2`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS|4 Videos
  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos
  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 4 (Differentiate the following)|28 Videos
  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS|33 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.6|25 Videos

Similar Questions

Explore conceptually related problems

If pv=81 then (dp)/(dv) at v=3 is

If u = tan^(-1)"" (sqrt ( 1+x^2)-1)/(x) and v = tan^(-1) x , find (du)/(dv)

The quantity(pV)/(kt) represents

If u, v and w are functions of x, then show that (d)/(dx)(u.v.w) = (du)/(dx) v.w+u. (dv)/(dx).w+u.v(dw)/(dx) in two ways-first by repeated application of product rule, second by logarithmic differentiation.

If F is the constant force generated by the motor of an automobiles of mass M, its velocity V is given by M(dV)/(dt)=F-kV , where k is a constant. Express V in terms of t given that V = 0 when t = 0.

The value of log_(3)""1/81 is …….

sqrt(81 + (2x + 1)^(2))

The velocity v and displacement x of a particle executing simple harmonic motion are related as v (dv)/(dx)= -omega^2 x . At x=0, v=v_0. Find the velocity v when the displacement becomes x.

FULL MARKS-DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION-EXERCISE 5 (Choose the correct or the most suitable answer from the given four alternatives.)
  1. If y = cos ( sin x^2), then (dy)/(dx) at x= sqrt(pi)/(2) is …...........

    Text Solution

    |

  2. If y = mx + c and f(0) = f'(0) =1, then f(2) is …......... .

    Text Solution

    |

  3. If f(x)=xtan^(-1)x, then f'(1) is

    Text Solution

    |

  4. (d)/(dx) (e^(x + 5 log x)) is …........... .

    Text Solution

    |

  5. If the derivative of (ax - 5)e^(3x) at x=0 is -13, then the value of a...

    Text Solution

    |

  6. x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)) " then " (dy)/(dx) is

    Text Solution

    |

  7. If x= a sin theta and y =b cos theta, then (d^2 y)/(dx^2) is…............

    Text Solution

    |

  8. The differential coefficient of log(m) x with respect to log(x) m is …...

    Text Solution

    |

  9. If f(x) = x+2, then f'(f(x) ) at x=-4 is…......... .

    Text Solution

    |

  10. If y = ((1-x)^2)/(x^2), then (dy)/(dx) is…........ .

    Text Solution

    |

  11. If pv = 81, then (dp)/(dv) at v=9 is …............. .

    Text Solution

    |

  12. If f(x) = {{:(x-5, "if" , x le 1),(4x^2-9, "if", 1 lt x lt 2),(3x+4 ,"...

    Text Solution

    |

  13. It is given that f'(a) exists, then underset(x to a) (lim) (x f(a) - a...

    Text Solution

    |

  14. If f(x) = {{:(x+1, "when" , x lt 2),(2x-1, "when" ,x ge 2):}, then f'(...

    Text Solution

    |

  15. If g(x) = (x^2 + 2x +3) f(x) and f(0) = 5 and underset( x to 0) (lim) ...

    Text Solution

    |

  16. If f(x)={{:(x+2, -1 lt x lt 3), (5, x=3), (8-x, x gt 3):}, then at x=3...

    Text Solution

    |

  17. The derivative of f(x) = x |x| at x=-3 is …............ .

    Text Solution

    |

  18. If f(x) = {{:(2a-x, "for",-a lt x lt a),(3x-2a ,"for", x ge a):}, then...

    Text Solution

    |

  19. If f(x) = {{:(ax^2 -b",", -1 lt x lt 1),((1)/(|x|)",", "elsewhere"):} ...

    Text Solution

    |

  20. The number of points in RR in which the function f(x) = |x-1| + sin x ...

    Text Solution

    |