Home
Class 12
MATHS
If (tan^(-1)x)^(y)+y^(cotx)=1, then find...

If `(tan^(-1)x)^(y)+y^(cotx)=1,` then find `(dy)/(dx).`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise DIFFERENTIABILITY ( SHORT ANSWER TYPE QUESTIONS-II)|12 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)|29 Videos

  • DETERMINANTS

    OSWAAL PUBLICATION|Exercise TOPIC-2 SOLUTIONS OF SYSTEM OF LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS -II )|24 Videos

Similar Questions

Explore conceptually related problems

If y=(e^(x)-tanx)/(x^(n)+cotx) , then find (dy)/(dx)

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

If y=e^((tan^(-1)x) then find (dy)/(dx)

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

If xy + y^(2) = tan x + y find (dy)/(dx) .

If tan^(-1)(x^(2)+y^(2))=alpha then (dy)/(dx) is equal to

If y = tan^(-1)((sin x)/(1+cos x)) find (dy)/(dx) .

If x^(y) = y^(x) find (dy)/(dx)

If y=cos^(-1)e^(x)," find "(dy)/(dx)

OSWAAL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-DIFFERENTIABILITY ( LONG ANSWER TYPE QUESTIONS-I)
  1. If x=a(cost+logtant/2) , y=asint , evaluate (d^2y)/(dx^2) at t=pi/3 .

    Text Solution

    |

  2. If y=tan^(-1)(a/x)+logsqrt((x-a)/(x+a)) , Prove that (dy)/(dx)=(2a^3)/...

    Text Solution

    |

  3. If (tan^(-1)x)^(y)+y^(cotx)=1, then find (dy)/(dx).

    Text Solution

    |

  4. Differentiate tan^(-1)((sqrt(1-x^2))/x) with respect to cos^(-1)(2xsqr...

    Text Solution

    |

  5. Differentiate tan^(-1)(x/(sqrt(1-x^2))) with respect to sin^(-1...

    Text Solution

    |

  6. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to sin^(-...

    Text Solution

    |

  7. If y=x^x , prove that (d^2y)/(dx^2)-1/y((dy)/(dx))^2-y/x=0

    Text Solution

    |

  8. Find the value of (dy)/(dx) at theta= pi/4, if x=ae^theta(sintheta-c...

    Text Solution

    |

  9. If x=asin2t(1+cos2t) and y=bcos2t(1-cos2t), show that at pi/4,(dy)/...

    Text Solution

    |

  10. If x=cost(3-2\ cos^2t) and y=sint(3-2s in^2t) find the value of (dy)/(...

    Text Solution

    |

  11. If y=A e^(m x)+B e^(n x) , show that (d^2y)/(dx^2)-(m+n)(dy)/(dx)+m n ...

    Text Solution

    |

  12. If x = a cos theta + b sin theta and y =asin theta-b cos theta, then p...

    Text Solution

    |

  13. If x^my^n=(x+y)^(m+n) prove that (dy)/(dx)=y/x

    Text Solution

    |

  14. Differentiate log (x^(sin x)+cot^(2) x) w.r.tx.

    Text Solution

    |

  15. If x=2costheta-cos2theta and y=2sintheta-sin2theta then prove that (dy...

    Text Solution

    |

  16. If y=(sinx)^x+sin^(-1)sqrt(x) then find dy/dx.

    Text Solution

    |

  17. If y=xlog"{"x/((a+b x))"]" , then show that x^3(d^2y)/(dx^2)=(x(dy)/(d...

    Text Solution

    |

  18. If y=log{x+sqrt(x^2+a^2)} , prove that: (x^2+a^2)(d^2y)/(dx^2)+x(dy)/(...

    Text Solution

    |

  19. If y={x +sqrt(x^(2)+1)}^(m), then show that (x^(2)+1)(d^(2)y)/(dx^(2))...

    Text Solution

    |

  20. If x=tan(1/alogy) , show that (1+x^2)(d^2y)/(dx^2)+(2x-a)(dy)/(dx)=0 .

    Text Solution

    |