Home
Class 11
MATHS
If x=tan(e^(-y)), then show that (dy)/(d...

If `x=tan(e^(-y))`, then show that `(dy)/(dx)=(-e^y)/(1+x^2)`.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.5|32 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.6|22 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.3|16 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

If e^y = e ^(x + y ) , then show that (dy)/(dx) =

If x ^(y) = e ^( x -y) , then show that (dy)/(dx) = (log x )/( (1 + log x ) ^(2))

If e^(y)(x+1)=1 , show that (d^(2)y)/(dx^(2)) = ((dy)/(dx))^(2) .

If x ^(y) = e ^(x -y) then (dy)/(dx) =

Find the derivatives of the function If x = log (1 + sin ^(2)y ) show that (dy)/(dx) = (e ^(x))/( sin 2y).

Solve (dy)/(dx)+1=e^(x+y)

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

AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.4
  1. Find the derivatives of the function cot ^(-1) (cosec 3x )

    Text Solution

    |

  2. Find the derivative of y=e^(Sin-1)x.

    Text Solution

    |

  3. Find the derivatives of the function sin ^(-1) sqrtx

    Text Solution

    |

  4. Find the derivatives of the function tan ^(-1) (cos sqrtx)

    Text Solution

    |

  5. Find the derivatives of the function sin (tan ^(-1) (e ^(x)))

    Text Solution

    |

  6. Find the derivatives of the function (cot ^(-1) x ^(3)) ^(2)

    Text Solution

    |

  7. Find the derivatives of the function tan ^(-1) (( cos x )/( 1 + cos ...

    Text Solution

    |

  8. Find the derivatives of the function cos ^(-1) (( b + a cos x )/( a ...

    Text Solution

    |

  9. Find the derivatives of the function log (sin ^(-1) e ^(x))

    Text Solution

    |

  10. Find the derivatives of the function If y = b tan ^(-1)((x )/(a) + ...

    Text Solution

    |

  11. Find the derivative of the function If f(x) = tan ^(-1) ((5 tan ((x...

    Text Solution

    |

  12. Find the derivatives of the function x tan ^(-1) x

    Text Solution

    |

  13. Find the derivative of the function sin x (tan ^(-1) x) ^(2)

    Text Solution

    |

  14. Find the derivative of the function sin ^(2) x (sin ^(-1) x ) ^(2)

    Text Solution

    |

  15. Find the derivatives of the function (x sin ^(-1) x )/( sqrt (1 - x ^...

    Text Solution

    |

  16. Find the derivatives of the function If x = log (1 + sin ^(2)y ) show...

    Text Solution

    |

  17. If x=tan(e^(-y)), then show that (dy)/(dx)=(-e^y)/(1+x^2).

    Text Solution

    |

  18. Find the derivatives of the function If x = log (1 + sqrty), then sh...

    Text Solution

    |

  19. If y = e^(asin^(-1)x) then prove that (dy)/(dx) = (ay)/(sqrt(1 - x^2))

    Text Solution

    |

  20. If f(x)=(a^(2)-b^(2))^(-1//2).cos^(-1)((acosx+b)/(a+bcosx)) a gt b gt ...

    Text Solution

    |