Home
Class 12
MATHS
Find (dy)/(dx) , when x=a t^2 and y=2\ a...

Find `(dy)/(dx)` , when `x=a t^2` and `y=2\ a t`

Text Solution

Verified by Experts

The correct Answer is:
`1/t,tne0`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5.1|38 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5.2|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (TRUE/FALSE QUESTION)|3 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) when x=4t , y= 4/t

Find (dy)/(dx), when x=(3at)/(1+t^(2)) and y=(3at^(2))/(1+t^(2))

Find (dy)/(dx), when x=a cos^(3)t and y=as in^(3)t

Find (dy)/(dx) , if x=a t^2 , y=2a t

Find (dy)/(dx), when x=(2t)/(1+t^(2)) and y=(1-t^(2))/(1+t^(2))

Find (dy)/(dx) , when x=a(t+sint) and y=a(1-cost).

Find (dy)/(dx) , if x=a t^2, y=2a t .

Find (dy)/(dx) , if x=2a t^2 , y=a t^4

Find (dy)/(dx), when x=(e^(t)+e^(-t))/(2) and y=(e^(t)-e^(-t))/(2)

Find (dy)/(dx),quad when x=(3at)/(a+t^(2)) and y=(3at^(2))/(1+t^(2))

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-OBJECTIVE TYPE QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)
  1. Find the derivative of the following w.r.t. x : 2x+3y=siny

    Text Solution

    |

  2. Find the derivative of the following w.r.t. x : ax+by^(2)=cosy

    Text Solution

    |

  3. Find the derivative of the following w.r.t. x : 1/x-1/y-10=0

    Text Solution

    |

  4. Find the derivative of the following w.r.t. x : y=4/3x^(3//4)

    Text Solution

    |

  5. Find the derivative of the following w.r.t. x : tan^(-1)sqrtx

    Text Solution

    |

  6. Find the derivative of the following w.r.t. x : tan(sin^(-1)x)

    Text Solution

    |

  7. Find the derivative of the following w.r.t. x : xtan^(-1)x

    Text Solution

    |

  8. Find the derivative of the following w.r.t. x : cos^(-1)(e^(x))

    Text Solution

    |

  9. Find the derivative of the following w.r.t. x : log(logx),xgt1

    Text Solution

    |

  10. Find the derivative of the following w.r.t. x : e^(cosx)

    Text Solution

    |

  11. Find (dy)/(dx) , when x=a t^2 and y=2\ a t

    Text Solution

    |

  12. Find dy/dx when x=4t,y=4/t.

    Text Solution

    |

  13. Find (d^(2)y)/(dx^(2)) when y=e^(x)+sinx

    Text Solution

    |

  14. Find (d^(2)y)/(dx^(2)) when y=tan^(-1)x

    Text Solution

    |

  15. Find (d^(2)y)/(dx^(2)) when y=logx/x.

    Text Solution

    |

  16. If dy/dx=y/x, prove that (d^(2)y)/(dx^(2))=0.

    Text Solution

    |

  17. If 2^(x)=3^(y), then find dy/dx.

    Text Solution

    |

  18. Find the second derivative of sin^(-1)x.

    Text Solution

    |

  19. Is Rolle's Theorem applicable to the function: f(x) = |x| in the int...

    Text Solution

    |

  20. Is LMV Theorem applicable to the function: f(x)=sinxsin2x in the int...

    Text Solution

    |