Home
Class 12
MATHS
Find dy/dx if x^(3)+x^(2)y+xy^(2)+y^(3)=...

Find `dy/dx` if `x^(3)+x^(2)y+xy^(2)+y^(3)=81`

Text Solution

Verified by Experts

The correct Answer is:
`dy/dx=(-(3x^(2)+2xy+y^(2)))/((x^(2)+2xy+3y^(2)))`
Promotional Banner

Topper's Solved these Questions

  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART -B|12 Videos

  • K-CET-MATHEMATICS-2016

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |60 Videos

  • P.U BOARD LATEST MODEL QUESTION PAPER - 3

    SUNSTAR PUBLICATION|Exercise PART-E|3 Videos

Similar Questions

Explore conceptually related problems

Find dy/dx if y=2x^7

Find dy/dx if y=2x-3

Find dy/dx if y= 3^x

Find dy/dx if x-3y=x^2

Find dy/dx if x-3y=x^4

Find dy/dx if 2x-3y=tanx

Find dy/dx if 2x+3y=sinx

Find dy/dx if 2x-3y=sinx

Find dy/dx if y^2 = x

Find dy/dx if y^2=10x

SUNSTAR PUBLICATION-P.U .BOARD LATEST MODEL QUESTION PAPER - 2 -PART-C
  1. Show that "sin"^(-1)12/13+"cos"^(-1)4/5+"tan"^(-1)63/16=pi

    Text Solution

    |

  2. If A=[(cosx,sinx),(-sinx,cosx)], show that A^(2)=[(cos2x,sin2x),(-sin2...

    Text Solution

    |

  3. Find dy/dx if x^(3)+x^(2)y+xy^(2)+y^(3)=81

    Text Solution

    |

  4. Differentiate (x cos x)^(x)+(x sin x)^(1//x) with respect to x.

    Text Solution

    |

  5. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  6. Find int(xe^(x))/((1+x)^(2))dx

    Text Solution

    |

  7. Evaluate: int2/((1-x)(1+x^(2)))dx

    Text Solution

    |

  8. Find the area bounded by the the curve y=cos x between x=0 and x=2pi.

    Text Solution

    |

  9. Find the general solution of dy/dx+y=1(y!=1)

    Text Solution

    |

  10. Find the value of p so that the lines (1-x)/3=(7y-14)/(2p)=(z-3)/2 and...

    Text Solution

    |

  11. Find the area of the rectangle having vertices A,B,C and D with positi...

    Text Solution

    |

  12. Show that four points A,B,C and D with position vectors4i+5j+k,-(j+k),...

    Text Solution

    |

  13. In answering a question on a multiple choice test a student either kno...

    Text Solution

    |

  14. If f:ArarrA defined by f(x)=(4x+3)/(6x-4) where A=R-{2/3}, show that f...

    Text Solution

    |

  15. If A=((1,1,-1),(2,0,3),(3,-1,2)),B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3,...

    Text Solution

    |

  16. Solve by matrix method: 4x+3y+2z=60, x+2y+3z=45, 6x+2y+3z=70

    Text Solution

    |

  17. If y=3 cos(log x)+4sin(logx) show that x^(2)y(2)+xy(1)+y=0

    Text Solution

    |

  18. A ladder 5cm long is leaning against a wall. The bottom of the ladder ...

    Text Solution

    |

  19. Find the integral of sqrt(x^(2)-a^(2) with respect to x.

    Text Solution

    |

  20. Find the area of the smaller region enclosed by the circle x^(2)+y^(2)...

    Text Solution

    |