Home
Class 12
MATHS
Let y=x^3-8x+7a n dx=f(t)dot If (dy)/(dt...

Let `y=x^3-8x+7a n dx=f(t)dot` If `(dy)/(dt)=2` and `x=3` at `t=0,` then `(dx)/(dt)` at `t=0` is given by 1 (b) `(19)/2` (c) `2/(19)` (d) none of these

A

`2/19`

B

`3/5`

C

`(-1)/(17)`

D

`5/16`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

Let y=x^(3)-8x+7 and x=f(t). If (dy)/(dt)=2 and x=3 at t=0, then (dx)/(dt) at t=0 is given by 1 (b) (19)/(2)(c)(2)/(19) (d) none of these

y=x^(3)-8x+7 and x=f(t). If (dy)/(dx)=2 and x=3 at t=0 then find the value of (dx)/(dt)att=0

x=f(t) satisfies (d^2x)/dt^2=2t+3 and for t=0, x=0, dx/dt=0 , then f(t) is given by (A) t^3+t^2/2+t (B) (2t^3)/3+(3t^2)/2+t (C) t^3/3+(3t^2)/2 (D) none of these

Let x=2(t+(1)/(t)) and y=2(t-(1)/(t)),t!=0. Then,the value of (dy)/(dx) at t=2 is

If " "x=t^(2),y=t^(3) ," then "(dy)/(dx)" at "t=-1" is "

If int_(0)^(y)e^(-t^(2))dt+int_(0)^(x^(2))sin^(2)tdt=0 , then (dy)/(dx) at x=y=1 is

If the solution of the equation (d^(2)x)/(dt^(2))+4(dx)/(dt)+3x = 0 given that for t = 0, x = 0 and (dx)/(dt) = 12 is in the form x = Ae^(-3t) + Be^(-t) , then

If int_(0)^(y)cos t^(2)dt=int_(0)^(x^(2))(sin t)/(t)dt, then (dy)/(dx) is

If x^(2)+y^(2)=t-(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) then x^(3)y(dy)/(dx)=(a)0(b)1(c)-1(d) non of these

DISHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-Exercise-1 : Concept Builder(Topicwise)
  1. If x = sint cos2t and y = cost sin2t , then at t = pi/4, the value of ...

    Text Solution

    |

  2. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

    Text Solution

    |

  3. Let y=x^3-8x+7a n dx=f(t)dot If (dy)/(dt)=2 and x=3 at t=0, then (dx)/...

    Text Solution

    |

  4. If x^y = e^(x-y) " then " dy/dx ?

    Text Solution

    |

  5. "If "y= sin x +e^(x)," then "(d^(2)x)/(dy^(2))=

    Text Solution

    |

  6. If f(x) =|log(e)|x||, then f'(x) equals

    Text Solution

    |

  7. If f(x)=x^4tan(x^3)-x1n(1+x^2), then the value of (d^4(f(x)))/(dx^4) ...

    Text Solution

    |

  8. let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

    Text Solution

    |

  9. If x = exp {tan^(-1)((y-x^2)/(x^2))} then dy/dx equals

    Text Solution

    |

  10. If y = log^nx, where log^n means log log log… (repeated n time), the...

    Text Solution

    |

  11. If x=e^(y+e^(y^(+..."to"00))),xgt0,"then"(dy)/(dx)

    Text Solution

    |

  12. d/(dx)[log{e^x((x-2)/(x+2))^(3//4)}] equals (x^2-1)/(x^2-4) (b) 1 (c) ...

    Text Solution

    |

  13. If : y=(1)/(x)," then: "(dy)/(sqrt(1+y^(4)))+(dx)/(sqrt(1+x^(4)))=

    Text Solution

    |

  14. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ . . .oo))), then (dy)/(dx) is equa...

    Text Solution

    |

  15. The equation x log x = 3-x has, in the interval (1,3) :

    Text Solution

    |

  16. In [0,1] Lagranges Mean Value theorem in NOT applicable to f(x)={1/2-x...

    Text Solution

    |

  17. Rolle's theorem hold for the function f(x)=x^(3)+bx^(2)+cx,1 le x le2 ...

    Text Solution

    |

  18. The value of x in the interval [4,9] at which the function f(x) = sqrt...

    Text Solution

    |

  19. The value of c in (0,2) satisfying the Mean Value theorem for the func...

    Text Solution

    |

  20. If f(x)> x ;AA x in R. Then the equation f(f(x))-x=0, has

    Text Solution

    |