Home
Class 11
MATHS
y = tan^(-1)((3x-x^(3))/(1-3x^(2))), fin...

`y = tan^(-1)((3x-x^(3))/(1-3x^(2))), find dy/dx.`

Text Solution

Verified by Experts

The correct Answer is:
`3/(1+x^(2))`
Promotional Banner

Topper's Solved these Questions

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.5|25 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|34 Videos

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|58 Videos

Similar Questions

Explore conceptually related problems

If y = tan^(-1)((1+x^(2))/(1-x^(2))) Find dy/dx .

Answer the equation: int tan^(-1)((3x-x^(3))/(1-3x^(2)))dx

Find (dy)/(dx) in the following : y = tan^(-1)((3x-x^(3))/(1-3x^(2))), -(1)/(sqrt(3)) lt x lt (1)/(sqrt(3)) .

If y=tan^(-1)((2x)/(1-x^2))" find "(dy)/(dx) .

Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " -(1)/(sqrt3) lt x lt (1)/(sqrt3)),(pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x gt (1)/(sqrt3)),(-pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x lt - (1)/(sqrt3)):}

Draw the graph of y=(3x-x^(3))/(1-3x^(2)) and hence the graph of y=tan^(-1).(3x-x^(3))/(1-3x^(2)) .

Prove that tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2)))absxlt(1)/(sqrt(3)).

PREMIERS PUBLISHERS-DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION -PROBLEMS FOR PRACTICE
  1. find dy/dx if y = (logx)^(sin^(-1)x

    Text Solution

    |

  2. f(x) = x^(x)+ x^(1/x), find f'(x).

    Text Solution

    |

  3. y = tan^(-1)((3x-x^(3))/(1-3x^(2))), find dy/dx.

    Text Solution

    |

  4. y = sec^(-1)((1+x^(2))/(1-x^(2))), find dy/dx.

    Text Solution

    |

  5. Find the derivatives of the following : tan^(-1)((cosx+sinx)/(cosx-s...

    Text Solution

    |

  6. If y = tan^(-1)((1+x^(2))/(1-x^(2))) Find dy/dx.

    Text Solution

    |

  7. y = tan^(-1)((sqrt(x)+sqrt(a))/(1-sqrt(ax))), find dy/dx.

    Text Solution

    |

  8. y = tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))),find dy/dx.

    Text Solution

    |

  9. y = cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))),...

    Text Solution

    |

  10. Differentiate cosec^(-1)(1/(3x-4x^(3))):

    Text Solution

    |

  11. If x=asec^(3)theta " and " y=atan^(3)theta " find " (dy)/(dx) " at " t...

    Text Solution

    |

  12. If x = 2costheta- cos 2theta, y = 2sintheta -sin 2theta, find dy/dx.

    Text Solution

    |

  13. x = a(costheta + logtan(theta/2), y = asintheta, find dy/dx.

    Text Solution

    |

  14. If x^(m)y^(n) = (x+y)^(m+n),find dy/dx.

    Text Solution

    |

  15. If e^(x)+ e^(y) = e^(x+y), find dy/dx.

    Text Solution

    |

  16. If ax^(2) +2hxy + by^(2) + 2gx + 2fy + c = 0, find dy/dx.

    Text Solution

    |

  17. If y = cos (m sin^(-1) x), prove that (1-x^2)y3 -3 xy2 + ( m^2 -1) y1=...

    Text Solution

    |

  18. Differentiate tan^(-1)(2x/(1 - x^(2))) with respect to cos^(-1)((1 - x...

    Text Solution

    |

  19. If y = sqrt((x-1)(x-2)(x-3)), find dy/dx.

    Text Solution

    |

  20. Differentiate cosec^(-1)((1 + x^(2))/(2x)) with respect to cot^(-1)((1...

    Text Solution

    |