Home
Class 12
MATHS
If y=x^(cotx)+(2x^(2)-3)/(x^(2)+x+2), fi...

If `y=x^(cotx)+(2x^(2)-3)/(x^(2)+x+2)`, 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= x^(sin x- cos x)+ (x^(2)-1)/(x^(2)+1)," find "(dy)/(dx) .

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

If x^(3) + x^(2)y + xy^(2) + y^(3) = 81 find (dy)/(dx) .

If tan (2x + 3) , find (dy)/(dx) .

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

If y=(3a^(2)x-x^(3))/(a^(3)-3ax^(2)) then find (dy)/(dx)

If y =(sinx)/(x^(2)) find dy//dx.

If sin^(2)x + cos^(2) y = 1 find (dy)/(dx) .

If y = (5x)^(3 cos 2x) find (dy)/(dx)

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

OSWAAL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-DIFFERENTIABILITY ( LONG ANSWER TYPE QUESTIONS-I)
  1. If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(...

    Text Solution

    |

  2. If y= x^(sin x- cos x)+ (x^(2)-1)/(x^(2)+1)," find "(dy)/(dx).

    Text Solution

    |

  3. If y=x^(cotx)+(2x^(2)-3)/(x^(2)+x+2), find (dy)/(dx).

    Text Solution

    |

  4. If x=cost+logtant/2,\ \ y=sint , then find the value of (d^2y)/(dt^2) ...

    Text Solution

    |

  5. If (cosx)^y=(cosy)^x , find (dy)/(dx)

    Text Solution

    |

  6. If y=(t a n^(-1)\ x^2) , show that (x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(...

    Text Solution

    |

  7. If y=3cos(logx)+4sin(logx),\ then show that x^2dot(d^2\ y)/(dx^2)+...

    Text Solution

    |

  8. If y=sin^(-1)x, show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0.

    Text Solution

    |

  9. Differentiate tan^(-1)[(sqrt(1+x^2)-1)/x] with respect to x

    Text Solution

    |

  10. If x=a(cos t+t\ s in\ t) and y=a\ (sint-t\ cos t),\ \ then find (d^2\...

    Text Solution

    |

  11. Differentiate tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x...

    Text Solution

    |

  12. If y=(sin^(-1)x)/(sqrt(1-x^2)) , show that (1-x^2)(d^2y)/(dx^2)-3x(dy)...

    Text Solution

    |

  13. If x=a(theta-sintheta) and, y=a(1+costheta) , find (dy)/(dx) at theta=...

    Text Solution

    |

  14. If y=logsqrt((1+tanx)/(1-tanx)),"P r o v et h a t"(dy)/(dx)=sec2x

    Text Solution

    |

  15. If y = a sin x + b cos x, show that y^2+((dy)/(dx))^2=a^2+b^2

    Text Solution

    |

  16. Consider the curve x= a(cos theta+theta sin theta) and y= a(sin theta ...

    Text Solution

    |

  17. If y=cos^(-1){(2x-3sqrt(1-x^2))/(sqrt(13))},"f i n d"(dy)/(dx)

    Text Solution

    |

  18. If ysqrt(x^2+1)=log(sqrt(x^2+)1-x),s howt h a t(x^2+1)(dy)/(dx)+x y+1=...

    Text Solution

    |

  19. If x=a\ (theta-sintheta),\ y=a\ (1+costheta),\ \ \ find (d^2\ y)/(dx^...

    Text Solution

    |

  20. If y= log sqrt((1+x cos x)/(1- x cos x))," find "(dy)/(dx) in simplifi...

    Text Solution

    |