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

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

RESONANCE DPP-JEE MAINS-All Questions
  1. If f(x)=(log)x(logx) , then f'(x) at x=e is equal to......

    Text Solution

    |

  2. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

    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. The graphs of y=s in x ,y=cos x , y=t a n x& y=cos e c x drawn on the ...

    Text Solution

    |

  5. The values of lambda for which the function f(x)=lambdax^3-2lambdax^2...

    Text Solution

    |

  6. Number of solutions of the equation, [y+[y]]=2cosx is: (where y=1//3)[...

    Text Solution

    |

  7. Number of solutions of the equation, cot^(-1)(x^2+1)=sin^(-1)|x| (a)...

    Text Solution

    |

  8. If the difference of the roots of the equation, x^2+p x+q=0 be unity,...

    Text Solution

    |

  9. Range of f(x) =[1+sinx]+[cosx-1]+[tan^(- 1)x] AA x in [0,2pi] where []...

    Text Solution

    |

  10. If -3+5i is a root of the equation x^2+p x+q=0 , then the ordered pair...

    Text Solution

    |

  11. Number of real solutions of the equation x^2+(x/(x-1))^2=8 are 3 (b) 4...

    Text Solution

    |

  12. (p ^^ ~ q)vv q is logical equivalent to (a) p vv q (b) ~P (c) p (d) ~q

    Text Solution

    |

  13. The equation of the image of the circle x^2+y^2+16 x-24 y+183=0 in the...

    Text Solution

    |

  14. Equation of straight liens joining the origin and points of interse...

    Text Solution

    |

  15. Which of the following function is not periodic, where [.] denotes g...

    Text Solution

    |

  16. Which of the following is false? (p=>q)hArr(~ a=>~ p) b. pvv...

    Text Solution

    |

  17. ABC is a triangle. The coordinates of whose vertices are (-2,4),(10 ,-...

    Text Solution

    |

  18. If : A=[1 2 0-1 1 2 2-1 1],t h e nA d j(A)= [3 5-1-2 1 5 4-2 3] (b) ...

    Text Solution

    |

  19. Which of the following is false? (p=>q)hArr(~ a=>~ p) b. pvv(~ p) is ...

    Text Solution

    |

  20. If A=[1ta n x-t a n x1],t h e nA^T A^(-1) is [ cos2x s in2x-s in2x cos...

    Text Solution

    |