Home
Class 12
MATHS
If x=sin^(-1)(3t-4t^3),y=cos^(-1)(8t^4-8...

If `x=sin^(-1)(3t-4t^3),y=cos^(-1)(8t^4-8t^2+1)` then `(dy)/(dx)=`

A

`+1`

B

`2/3`

C

`-3/4`

D

`4/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

If x^2 = a^(sin^(-1)t) and y^2= a^(cos^(-1)t) then show that (dy)/(dx)=-y/x .

If x=(1+t)/(t^(3)),y=(3)/(2t^(2))+(2)/(t) then x((dy)/(dx))^(3)-(dy)/(dx), equals to

If x=sqrt(a^(sin^(-1)t)), y= sqrt(a^(cos^(-1)t)) , show that (dy)/(dx)= -(y)/(x) .

If x=(2t)/(1+t^2) , y=(1-t^2)/(1+t^2) , then find (dy)/(dx) .

If x=sqrt( a^(sin^(-1)t)) and y=sqrt( a^(cos^(-1)t)) find dy/dx

If x=sqrt(a^(sin^(-1)t)" and "y=sqrt(a^(cos^(-1)t) show that (dy)/(dx)=-(y)/(x) .

If x = sqrt(a^(sin^(-1)t)) and y= sqrt(a^(cos^(-1)t) show that (dy)/(dx)= -y/x .

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

Find (dy)/(dx) when : x=cos^(-1)(8t^(4)-8t^(2)+1) , y=sin^(-1)(3t-4t^(3))[0 lt t lt (1)/(2)]

If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) then show that (dy)/(dx)=-(y)/(x) .

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. If y=cos^(-1)cos[2sin^(-1)(cosx)] then (dy)/dx=

    Text Solution

    |

  2. If x^2+y^2=t+1/t and x^4+y^4=t^2+1/t^2 then (dy)/(dx)=

    Text Solution

    |

  3. If x=sin^(-1)(3t-4t^3),y=cos^(-1)(8t^4-8t^2+1) then (dy)/(dx)=

    Text Solution

    |

  4. If f(x)=e^xg(2x),g(0)=4 and g'(0) = 2 then f'(0) is equal to

    Text Solution

    |

  5. Let f(x)=sinx,g(x)=x^2 and h(x) = log x. If F(x)=(h(f(g(x)))), then F'...

    Text Solution

    |

  6. If y = f(x) (dy)/dx=f'(x) therfore y=f{g(x)} then f'{g(x)} will be den...

    Text Solution

    |

  7. If f(x)=xf(2a-x) then f''(0) equal to

    Text Solution

    |

  8. If x=e^z then x^2(d^2y)/(dx^2) is

    Text Solution

    |

  9. If S=t^3+6t^2-36t+100 . Determine acceleration and displacement at the...

    Text Solution

    |

  10. x and y are the sides of two squares such that y=x-x^2 Find the rate o...

    Text Solution

    |

  11. If f(x)=x/(sinx) and g(x)=x/("tan"x), where 0ltxle1, then in this inte...

    Text Solution

    |

  12. The function f(x)=(sinx+cosx) is an increasing function in

    Text Solution

    |

  13. If the function f(x)=2x^2-kx+5 is increasing on [1,2], then k lies in ...

    Text Solution

    |

  14. Let f(x)=inte^x(x-1)(x-2)dx, then f(x) decreases in the interval

    Text Solution

    |

  15. If f(x)={(3x^2+12x-1,-1lexle2),(37-x,2ltxle3):}

    Text Solution

    |

  16. For all theta in [0,pi/2] show that cos(sintheta)gtsin(costheta)

    Text Solution

    |

  17. Which of the following holds true for "x"in[0,pi/2)

    Text Solution

    |

  18. The maximum value of ((logx)/x)is

    Text Solution

    |

  19. The minimum value of (x^2+250/x) is

    Text Solution

    |

  20. The minimum value of f(x)=3x^4-8x^3-48x+25 on [0.3] is

    Text Solution

    |