Home
Class 12
MATHS
If x^py^q = (x+y)^(p+q), then(d^2y)/(dx^...

If `x^p``y^q` = (x+y)^(p+q)`, then(`d^2y)/(d`x^2`) =..........

A

y/x

B

0

C

-y/x

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos

  • Indefinite Integration

    CHETANA PUBLICATION|Exercise Exercise|221 Videos

Similar Questions

Explore conceptually related problems

If y=A sin 5x, then (d^2y)/(dx^2) =

If x^2y^3=(x+y)^5 , then (d^2y)/(dx^2) is

If sec( frac{x+y}{x-y} ) = a^2 , then ( d^2 y)/(d x^2 ) = ............ A) y B) x C) y/x D) 0

If x^p y^q= (x+y)^(p+q) , then prove that dy/dx = y/x

If y = log(sin x) , find (d^2y)/(dx^2)

If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is

If y= log x , then find (d^2y) / (dx^2)

If x=at^2,y=2at , then (d^2x)/(dy^2)=

If y= (sin^(-1) x)^2 , then (1-x^2) (d^2 y)/(dx^2) - x (dy/dx) = ..........

CHETANA PUBLICATION-Differentiation-Exercise
  1. If x= a(theta - sin theta), y= a(1- cos theta), then dy/dx=......... A...

    Text Solution

    |

  2. If x= a cos^3 t, y= a sin^3 t, then dy/dx=..... A) -y/x B) -(y/x)^(1...

    Text Solution

    |

  3. If x^py^q = (x+y)^(p+q), then(d^2y)/(dx^2) =..........

    Text Solution

    |

  4. If y= sin^2 (cot^(-1)sqrt (frac {1+x}{1-x})), then frac{dy}{dx}=.........

    Text Solution

    |

  5. If x = e^theta (sin theta - cos theta), y = e^theta (cos theta + sin t...

    Text Solution

    |

  6. The derivative of cos^(-1)(2x^2 -1) w.r.t. cos^(-1) x is ........... A...

    Text Solution

    |

  7. If x= a(cos t + tsin t), y= a(sin t- t cos t), then dy/dx ...............

    Text Solution

    |

  8. If y= cot^(-1)(frac {1-3x^2}{3x - x^3}), then dy/dx=....... A) frac{3...

    Text Solution

    |

  9. If log (sqrt (x^2 + y^2)) = tan^(-1)(frac{y}{x}), then frac{dy}{dx} is...

    Text Solution

    |

  10. If x= a(t-1/t), y=a(t+1/t), then dy/dx =........ A) x/y B) y/x C) ...

    Text Solution

    |

  11. If x^2 + 6xy + y^2 = 10, then frac{d^2y}{dx^2} =..........

    Text Solution

    |

  12. If e^y = (x+1) then (d^2y)/(dx^2) =.......... A) (dy/dx)^2 B) -(dy/dx)...

    Text Solution

    |

  13. If x= a(cos theta + sin theta), y= a(sin theta + cos theta), then [(d^...

    Text Solution

    |

  14. If x^y = e^(x-y), then dy/dx = ............ A) frac {log x}{(1+logx)...

    Text Solution

    |

  15. If y is a function of x and log(x+y) = 2xy, then the value of y'(0) = ...

    Text Solution

    |

  16. If y= cos(x^2 + a^2) find dy/dx

    Text Solution

    |

  17. Differentiate tan^(-1) (sqrt x) w.r.t. x

    Text Solution

    |

  18. Find dy/dx, if x= cosec^2theta, y= cot^3theta, at theta = (pi)/6

    Text Solution

    |

  19. Differentiate x^x w. r. t. x

    Text Solution

    |

  20. Find dy/dx if y= sin^(-1)(3x-4x^3)

    Text Solution

    |