Home
Class 11
MATHS
Find (dy)/(dx) if x = 2 e ^(-t) , y ...

Find `(dy)/(dx) ` if
` x = 2 e ^(-t) , y = 4e ^(t)`

Text Solution

Verified by Experts

The correct Answer is:
`2e ^(2l)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.6|22 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.6 (SHORT TYPE ANSWER QUESTIONS )|37 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.4|24 Videos

  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) if x =a ( cos t + t sin t ), y = a ( sin t - t cos t).

Find (dy)/(dx), " if "y=12 (1-cos t), x= 10(t-sin t), -(pi)/(2) lt t lt (pi)/(2) .

The solution of (dy)/(dx) = e^(2x-y) + x^(3) e^(-y) is

Solve (dy)/(dx)= e^(x-y) + x^2 e^(-y) .

AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.5
  1. Find (dy)/(dx) if x = 2 e ^(-t) , y = 4e ^(t)

    Text Solution

    |

  2. Find (dy)/(dx)," if "x= at^(2), y= 2at.

    Text Solution

    |

  3. Find (dy)/(dx) if x = log t + sin t, y= e ^(r ) + cos t.

    Text Solution

    |

  4. Find (dy)/(dx) if x =a cos ^(2) theta , y =b sin ^(2) theta .

    Text Solution

    |

  5. Find (dy)/(dx) if x =a ( theta - sin theta ), y = a ( 1 - cos theta...

    Text Solution

    |

  6. Find (dy)/(dx) if x =a ( cos t + t sin t ), y = a ( sin t - t cos t...

    Text Solution

    |

  7. If x=3cost-2cos^(3)t,y=3sint-2sin^(3)t then find dy/dx.

    Text Solution

    |

  8. If x = a[cos t + log tan (t/2)], y = a sin t then find (dy)/(dx).

    Text Solution

    |

  9. Find (dy)/(dx) if x =a ((1- t ^(2))/( 1 + t ^(2))), y = (2 bt)/(1 ...

    Text Solution

    |

  10. Find (dy)/(dx) if x = ( 3 at)/(1+ t ^(3)), y = (3 at ^(2))/( 1 + t ...

    Text Solution

    |

  11. Find dy/dx if x=acos^(3)t,y=asin^(3)t.

    Text Solution

    |

  12. If x = cos theta (1 + cos theta ), y = sin theta (1 + cos theta ) sho...

    Text Solution

    |

  13. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

    Text Solution

    |

  14. If ax ^(2) + 2 hxy + by ^(2) =0 then (dy )/(dx) =

    Text Solution

    |

  15. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

    Text Solution

    |

  16. Find the derivative of x^(4) + y^(4) - a^(2) xy = 0 w.r.to x

    Text Solution

    |

  17. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

    Text Solution

    |

  18. Find the derivative of the w.r.to x. (2x + 3) ^(x-5)

    Text Solution

    |

  19. Find the derivative of the w.r.to x. x ^(x ^(x))

    Text Solution

    |

  20. Find the derivative of the w.r.to x. (x ^(x)) x

    Text Solution

    |