Home
Class 12
MATHS
xy=( x+y )^n and dy/dx = y/x then n=...

`xy=( x+y )^n `and `dy/dx = y/x` then n=   1 b.  2 c. 3 d. 4

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|102 Videos
  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos

Similar Questions

Explore conceptually related problems

(dy)/(dx)=1-x+y-xy

(dy)/(dx)=1+x+y+xy

dy/dx + n/x y = a/x^(n)

(x^(2)+xy)(dy)/(dx)=x^(2)+y^(2)

If y= 1/(n-x) then dy/dx =

(x^(2) y^(3) + 2xy) dy = dx

dy/dx - n/xy = e^(x)x^(n)

If y=(1-x)(2-x)(3-x)…(n-x),find dy/dx

2xy + y^(2) - 2x^(2)(dy)/(dx) = 0, y = 2 when x = 1

If x^(m)*y^(n)=(x+y)^(m+n) , show that (dy)/(dx)=(y)/(x) .

CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. A function f: RvecR is defined as f(x)=(lim)(nvecoo)(a x^2+b x+c+e^(n ...

    Text Solution

    |

  2. If x+y=3e^2t h e d/(dx)(x^y)=0forx= e^2 b. e^e c. e d. 2e^2

    Text Solution

    |

  3. xy=( x+y )^n and dy/dx = y/x then n=   1 b.  2 c. 3 d. 4

    Text Solution

    |

  4. If f(x)={(sin(pi/2)(x-[x]),x<5),(5(b-1),x=5),((a b^2|x^2-11 x+24|)/(x-...

    Text Solution

    |

  5. If f(x)={(2cos x -sin2x)/((pi-2x)^2),xlt=pi/2(e^(-cotx)-1)/(8x-4pi),x ...

    Text Solution

    |

  6. Let f(x)={8^(1/x),x<0a[x],a in R-{0},xgeq0, (where [.] denotes the gr...

    Text Solution

    |

  7. let f(x)=x^3-x^2-3x-1 , g(x)=(x+1)aand h(x)=f(x)/g(x) where h is a rat...

    Text Solution

    |

  8. For which of the following functions f(0) exists such that f(x) is con...

    Text Solution

    |

  9. Determine the values of a so that the funtion is continuous at x=1. f...

    Text Solution

    |

  10. Let f: R->R be any function. Also g: R->R is defined by g(x)=|f(x)| fo...

    Text Solution

    |

  11. Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-...

    Text Solution

    |

  12. The function f:R→R satisfies f(x^2 ).f ′′ (x)=f ′ (x).f ′ (x^...

    Text Solution

    |

  13. The second derivative of a single valued function parametrically re...

    Text Solution

    |

  14. If lim(x→0) ​ (x^asin^b x)/(sin(x^c)), where a , b , c in ...

    Text Solution

    |

  15. (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2)...

    Text Solution

    |

  16. If f(1)=3,f^(prime)(1)=2,f ^(' ')(1)=4,t h e n(f^(-1))^(' ')(3)= a. 1...

    Text Solution

    |

  17. If (a+bx)e^(y/x)=x , Prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2

    Text Solution

    |

  18. If R=([1+((dy)/(dx))^2]^(3//2))/((d^2y)/(dx2)) , thenR^(2//3) can be p...

    Text Solution

    |

  19. If x=t^2,y=t^3,t h e n(d^2y)/(dx^2) is (a)3/2 (b) 3/(4t) (c) 3/(2t) (...

    Text Solution

    |

  20. The function f(x)=(x^3)/8-sinpix+4 in [-4,4] does not take the value a...

    Text Solution

    |